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"\n",
" \n",
"\n",
"# Equilibrium Monte Carlo simulation of the 2D Ising model\n",
"\n",
"## Examples - Statistical Mechanics\n",
"\n",
"By Niels Henrik Aase, Asle Sudbø, Eilif Sommer Øyre, and Jon Andreas Støvneng\n",
" \n",
"Last edited: September 29nd 2019\n",
"\n",
"___"
]
},
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"cell_type": "markdown",
"metadata": {},
"source": [
"## Introduction\n",
"The Ising model is perhaps the most thoroughly researched model in statistical physics. The main reasons for this is it's simplicity, and the fact that it has an analytical solution on a two dimensional infinite square lattice, which makes for an excellent benchmark for numerical calculation schemes. This solution [[1]](#rsc) was worked out by Nobel Laureate Lars Onsager in 1944, a former student at NTNU, which makes the project extra special for us at NumFys. The Ising model is the only nontrivial example of a phase transition that can be proven rigorously [[2]](#rsc). However, the proof is way beyond the scope of this project.\n",
"\n",
"For the curious reader, the derivation of the specific heat can be found in the paper of Lars Onsager [[1]](#rsc). The expression for the spontaneous magnetization was also found by Onsager, but the derivation of this expression was never published. Onsager simply stated it on a conference at Cornell University in 1948, and four years later C. N. Yang, published a derivation of the same result [[3]](#rsc).\n",
"\n",
"In this notebook we will use the Monte Carlo method, the perhaps most important computational statistical algorithm in all of physics. This suits well with the underlying physical system of the notebook, as the Ising model has been one of the most important models in statistical physics the last century. Thus, this is a topic where you can learn a lot of important principles regarding algorithms and computations that are still very relevant today!"
]
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"## Theory\n",
"\n",
"### Ising model\n",
"\n",
"The Ising model has already been discussed in a previous [notebook](https://nbviewer.jupyter.org/urls/www.numfys.net/media/notebooks/ising_model.ipynb), but some of the results bears repeating. The Ising model represents the magnetic dipole moments of atomic spins. The spins can be in two states, +1 or -1. The spins interact only with their nearest neighbor through an interaction parameter $J_{ij}$.\n",
"\n",
"Consider an $ N \\times N $ lattice, with $s_{i}$ denoting the spin at site $i$. We allow for different interactions along the columns and the rows of the lattice, where we denote the interaction between spins along rows as $J$ and between spins along columns $J'$. Without loss of generality, we assume that the magnetic field $\\vec{B}$ is on the form $\\vec{B} = (0 ,0 , B)$ and that the dipole moments are on the form $s_i = (0, 0, \\pm 1)$. The Hamiltonian of the system then becomes \n",
"\n",
"\\begin{equation}\n",
"H = - \\sum_{} J_{ij} s_i s_j - B\\sum_{i} s_i,\n",
"\\label{Hamiltonian}\n",
"\\end{equation}\n",
"where $B$ is the magnetic field. The first summation is over nearest neighbors of each lattice point, while the second summation is over all the $N^2$ lattice points. The interaction between the nearest neighbors are described using $J$ and $J'$.\n",
"\n",
"The partition function is then given by\n",
"\\begin{equation}\n",
"Z = \\sum_{\\{s_i\\}} e^{-\\beta H},\n",
"\\label{Partition}\n",
"\\end{equation}\n",
"where the summation is over the possible states of the system and $\\beta$ is a Lagrange multiplier equal to $\\frac{1}{k_B T}$. $k_B$ is the Boltzmann constant, and $T$ is the temperature. From now on, we set $k_B = 1$, such that $\\beta$ is just inverse temperature. We also choose to mainly ignore the units of the calculated quantities.\n",
"\n",
"The number of possible states increase unfathomably fast when we increase the size of the lattice. The summation contains $2^{N^2}$ terms, so for $N=6$ we need to sum over 68 719 476 736 spin configurations. In the previous [Ising model notebook](https://nbviewer.jupyter.org/urls/www.numfys.net/media/notebooks/ising_model.ipynb), the sum was calculated exactly, and using a high-speed language such as Fortran, it is possible to simulate $5 \\times 5$ lattices in a reasonable time. However, the Onsager solution is only valid for a $N \\times \\infty$ lattice, hence we need a different method for simulating larger systems that are of more interest. In this notebook we will use a Monte Carlo method, more specifically the Metropolis algorithm.\n"
]
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"### The Metropolis algorithm\n",
"The Metropolis algorithm is the perhaps the most famous Monte Carlo algorithm. In our case we will use it to approximate the expectation values of the system, i.e. the macroscopic and measurable, values such as the specific heat, $c$, or the magnetization, $m$. We will split the explanation of the algorithm in two, first we will focus on the implementation of single Monte Carlo sweep, then we will explain how measurements of the system should be made. The latter is perhaps the most subtle and advanced part of the notebook.\n",
"\n",
"#### Implementation\n",
"1. Initialize a spin configuration. In our case the initial spin configuration will be random, corresponding to a high temperature initial configuration.\n",
"2. Compute the energy of the configuration using \\eqref{Hamiltonian}.\n",
"3. Pick a random site $i$ on the lattice, and calculate the energy of the configuration if $s_i \\rightarrow -s_i$. Then compute the change in energy of the whole configuration, $\\Delta E$.\n",
"4. If $\\Delta E$ is negative, accept the change of the spin-configuration by letting $s_i \\rightarrow -s_i$.\n",
"5. If $\\Delta E$ is non-negative, generate a random number $r \\in \\big \\langle 0, 1 \\big \\rangle$. If $e^{-\\beta \\Delta E} > r$, change the spin configuration by letting $s_i \\rightarrow -s_i$.\n",
"6. Repeat the process $N^2$ times. This defines a single Monte Carlo sweep, $t$.\n",
"\n",
"To summarize, a move that reduces the energy of the spin configuration, $\\textit{will}$ be accepted, while a move that increases the energy, $\\textit{might}$ get accepted.\n",
"\n",
"It is important to note that the random, non-deterministic, nature of Monte Carlo simulations means that even though two simulations have the same initial spin configuration and external parameters, the two simulations will evolve differently, so don't worry if your results vary from simulation to simulation.\n",
"\n",
"Even though we are using a stochastic summation, this algorithm will be computationally demanding for larger system, its complexity scales as $N^2$. The total runtime of the program will be dominated by running an enormous amounts of Monte Carlo sweeps, in our case in the range of up to 600 000 sweeps for $N=256$, which corresponds to running the 1-5 steps above, approximately $10^{11}$ times! If we in addition simulate for different temperatures, we are running the most basic parts of our algorithm trillions of times. This requires an extremely efficient Monte Carlo sweep function. Luckily, there is some things we can do in order to improve the runtime.\n",
"\n",
"We are mainly concerned with computing the mean magnetization per spin of the system, $$. given by\n",
"\n",
"$$ \n",
" = \\frac{1}{N^2} \\sum_{i}, \n",
"$$\n",
"and the specific heat at constant field $C_B$ per spin. Trough classical statistical physics and thermodynamics, $C_B$ can be shown to be equal to\n",
"\n",
"$$\n",
"\\frac{C_B}{k_B} = \\big[ \\langle (\\beta H )^2 \\rangle - \\langle (\\beta H) \\rangle ^2 \\big] = \\mathrm{Var}[\\beta H]. \n",
"$$\n",
"\n",
"This fantastic and surprising result show that the specific heat is completely determined by energy fluctuations (i.e. the variance of the energy of the system)! It is important to distinguish the expectation value (denoted with $$) of the magnetization, from the actual magnetization of a given spin configuration, $m$. Unfortunately, the two are often used interchangeably. This is due to the fact the mean magnetization is the macroscopic value we measure with experiments, and even though we are strictly speaking about the mean magnetization $$, we often simply denote it by $m$. This is the notation we will use for the rest of the notebook.\n",
"\n",
"Let us start with the simplest case, the mean magnetization per spin $m$. In order to calculate this, we calculate the magnetization of the lattice after each sweep and then calculate the average value. However, this requires that the sum $\\sum_{i} s_i$ needs to be calculated $N^2$ times per sweep, which is a far too time consuming operation. This operation can be simplified greatly by noting that the change in $m$ only depends on the change in spin at the random site $k$, $s_k \\rightarrow -s_k$. Denoting the new and old state of the system as $\\nu$ and $\\mu$, we observe that\n",
"\n",
"\\begin{equation}\n",
"\\Delta m = m_{\\nu} - m_{\\mu} = \\sum_{i} s_i^{\\nu} - \\sum_{i} s_i^{\\mu} = s_k^{\\nu} - s_k^{\\mu} = 2 s_k^{\\nu}, \n",
"\\label{Delta_m}\n",
"\\end{equation}\n",
"\n",
"where $s_k^{\\nu}$ and $s_k^{\\mu}$ denote the spin at site $k$ after and before the spin has been changed. All other terms in the two summations cancel (because $s_k$ is the only spin that change when the system goes from state $\\mu$ to $\\nu$). Thus we only need to calculate $m$ once, then each time a spin is flipped, i.e $s_k \\rightarrow -s_k$, we find the updated magnetization by \n",
"\n",
"$$\n",
"m_{\\nu} = m_{\\mu} + 2 s_k^{\\nu}.\n",
"$$\n",
"\n",
"The change in energy is slightly more difficult, but the same principle applies, each time a spin changes, it only affects the spin configuration locally, we don't need to reconsider the entire lattice. From equation \\eqref{Hamiltonian} we can calculate the change in the energy\n",
"\n",
"$$\n",
"\\Delta E = E_{\\nu} - E_{\\mu} = - \\sum_{} J_{ij} s_i^{\\nu} s_j^{\\nu} - B\\sum_{i} s_i^{\\nu} + \\sum_{} J_{ij} s_i^{\\mu} s_j^{\\mu} + B\\sum_{i} s_i^{\\mu} = - \\big( \\sum_{i \\, \\mathrm{ n.n\\, to } \\, k} J_{ik} s_i^{\\mu} (s_k^{\\nu} - s_k^{\\mu}) \\big) - 2 B s_k^{\\nu}, \n",
"$$\n",
"where we used equation \\eqref{Delta_m} to evaluate the summations involving $B$. The nearest neighbor interactions are more complicated, but we observe that only the nearest neighbors of site $k$ are relevant for calculating $\\Delta E $, all other interactions are canceled. The expression can be shortened even further by noting that $(s_k^{\\nu} - s_k^{\\mu}) = - 2 s_k^{\\mu}$, and that $s_k^{\\mu}$ can be pulled outside the sum. The final expression for $\\Delta E$ can then be expressed as \n",
"\n",
"\\begin{equation}\n",
"\\Delta E = s_k^{\\mu} \\big( \\sum_{i \\, \\mathrm{ n.n\\, to } \\, k} J_{ik} s_i^{\\mu}\\big) - 2 B s_k^{\\nu}.\n",
"\\label{Delta_E}\n",
"\\end{equation}\n",
"\n",
"The simplifications are valid in any number of dimensions, where the number of dimensions determine the number of terms in the summation. In our case where we consider a two-dimensional system, the summation contains four terms.\n",
"\n",
"You might notice that almost all of the computations only involve integers, the only exceptions being the random number $r$ and the exponentials. For a given combination of $J$, $J'$ and $B$ there is a finite number of possible values of $\\Delta E$, thus one can save the possible exponential values $e^{-\\beta \\Delta E}$ at the start of the simulation, so for any $\\Delta E$ we know $e^{-\\beta \\Delta E}$ without having to calculate it! This is not done in our code, but it would improve the runtime even further because all calculations, with the exception of $r$, would only involve integers, which are normally much faster than calculations with real numbers. \n",
"\n",
"As mentioned earlier, almost all of the runtime will be spent running this algorithm up to 600 000 times. The algorithm has a time complexity that scales as $O(N²)$ , so the code must be extremely efficient. That is why have chosen to run this part of the code through Fortran, which yields superior computational speed, improving the runtime by a factor of 200. For completeness, we also show how one would implement the algorithm in Python, as it easier to understand how the algorithm works in a high level language such as Python.\n"
]
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"## Python implementation\n",
"As we will see later there only exists a analytical solution for the thermodynamic quantities on an infinite lattice. Lars Onsager's solution is only valid for $B = 0$, and a analytic solution for $B \\neq 0$ has yet to be found. For this reason, we choose to set $B=0$, as well as setting $J = J' = 1$."
]
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"source": [
"# Imporing necessary packages\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import time\n",
"import scipy.optimize\n",
"import scipy.special\n",
"%matplotlib inline\n",
"\n",
"newparams = {'figure.figsize': (15, 7), 'axes.grid': False,\n",
" 'lines.markersize': 10, 'lines.linewidth': 2,\n",
" 'font.size': 15, 'mathtext.fontset': 'stix',\n",
" 'font.family': 'STIXGeneral', 'figure.dpi': 200}\n",
"plt.rcParams.update(newparams)\n",
"\n",
"\n",
"\n",
"def Hamiltonian(S, B= 0, J_v= 1, J_p=1):\n",
" \"\"\"Given a lattice configuration (i.e. a spin matrix) S, and the parameters B, J_v and J_p, this functions\n",
" returns the energy of the lattice.\n",
" \n",
" Parameters:\n",
" S: Spin matrix, (NxN) array\n",
" B, J_v, J_p: Interactation and external parameters\n",
" Returns:\n",
" E: Energy of the lattice\n",
" \"\"\"\n",
" B_contribution = B * np.sum(S) # Energy of the spin configuration resulting from an external magnetic field\n",
" \n",
" # Using np.roll here automatically satisifies the periodic boundary conditions (PBCs).\n",
" J_v_contribution = J_v * np.sum(S * np.roll(S, 1, axis= 0)) # Energy resulting from lattice interactions along columns\n",
" J_p_contribution = J_p * np.sum(S * np.roll(S, 1, axis= 1)) # Energy resulting from lattice interactions along rows\n",
" E = - (J_v_contribution + J_p_contribution + B_contribution)\n",
" return E\n",
"\n",
"\n",
"def delta_Hamiltonian(S, i, k, N, B = 0, J_v = 1, J_p = 1):\n",
" \"\"\"Calculates the energy change of the lattice if lattice site S[i][k] changes it's spin, in accordance\n",
" to the simplifications in the theory part.\n",
" \n",
" Parameters:\n",
" S: Spin matrix, (NxN) array\n",
" i, k: indicates the lattice site\n",
" N: Number of columns and rows in the lattice\n",
" B, J_v, J_p: Interactation and external parameters\n",
" Returns:\n",
" delta_E: The energy change\n",
" \"\"\"\n",
" # Here we use the modulo operator to accomodate the PBCs \n",
" nn = J_p * (S[(i + 1) % N][k] + S[i - 1][k]) + J_v * (S[i][(k + 1) % N] + S[i][k - 1])\n",
" delta_E = 2 * S[i][k] * (nn + B)\n",
" return delta_E\n",
"\n",
"\n",
"def Attempt_flip(S, beta, i, k, N, r, B = 0, J_v = 1, J_p = 1):\n",
" \"\"\"The central part of the Metropolis algorithm. Calculates the energy change at a random lattice site, and\n",
" updates the spin of the lattice site in accordance to the rules of the Metropolis algorithm. Returns\n",
" True/False on whether the spin should flip as well as the change in energy.\n",
" \n",
" Parameters:\n",
" S: Spin matrix, (NxN) array\n",
" beta: Inverse temperature\n",
" i, k: indicates the lattice site\n",
" N: Number of columns and rows in the lattice\n",
" r: Random number between 0 and 1\n",
" B, J_v, J_p: Interactation and external parameters\n",
" Returns:\n",
" delta_E: The energy change\n",
" flip : Boolean value on wheter the spin should be flipped.\n",
" \"\"\"\n",
" delta_E = delta_Hamiltonian(S, i, k, N, B, J_v, J_p)\n",
" if delta_E <= 0:\n",
" flip = True # If the energy change is negative, the spin flips\n",
" return flip, delta_E\n",
" else:\n",
" flip = np.exp(-beta * delta_E) > r # The flip might flip, depending on r and the temperature\n",
" return flip, delta_E\n",
"\n",
"\n",
"\n",
"def sweep(S, beta, N, B = 0, J_v = 1, J_p = 1):\n",
" \"\"\"A full Monte Carlo sweep. Runs the previous functions N ** 2 times, while always storing the updated change in\n",
" magnetization and energy. Returns the updated spin configuaration and the change in magnetization and\n",
" energy (with respect to the initial values).\n",
" \n",
" Parameters:\n",
" S: Spin matrix, (NxN) array\n",
" beta: Inverse temperature\n",
" N: Number of columns and rows in the lattice\n",
" B, J_v, J_p: Interactation and external parameters\n",
" Returns:\n",
" S: Updated spin configuartion after one Monte Carlo sweep\n",
" delta_He_sweep: Change in energy after one Monte Carlo sweep\n",
" delta_m_sweep: Change in magnetization after one Monte Carlo sweep\n",
" \"\"\"\n",
" delta_m_sweep = 0\n",
" delta_He_sweep = 0\n",
" # Generating random numbers to genereate random lattice sites \n",
" rand_list_index_1 = np.random.randint(N, size=N ** 2)\n",
" rand_list_index_2 = np.random.randint(N, size=N ** 2)\n",
" # Generating N ** 2 random numbers between 0 and 1\n",
" rand_numbers = np.random.rand(N**2)\n",
" for l in range(N ** 2):\n",
" i = rand_list_index_1[l]\n",
" k = rand_list_index_2[l]\n",
" check, delta_E = Attempt_flip(S, beta, i, k, N, rand_numbers[l], B, J_v, J_p)\n",
" if check:\n",
" delta_m = (-2) * S[i][k] / (N ** 2)\n",
" S[i][k] *= (-1)\n",
" else:\n",
" delta_m = 0\n",
" delta_E = 0\n",
" delta_He_sweep += delta_E\n",
" delta_m_sweep += delta_m\n",
" return S, delta_He_sweep, delta_m_sweep\n",
"\n",
"\n",
"\n",
"def compute_quantities(S, beta, M, B = 0, J_v = 1, J_p = 1, show_time= False):\n",
" \"\"\"Given the number of wanted sweeps, M, the simulation is ran for M Monte Carlo sweeps. Returns arrays with\n",
" the values of magnetization and energy after each sweep.\n",
" \n",
" Parameters:\n",
" S: Spin matrix, (NxN) array\n",
" beta: Inverse temperature\n",
" M: Number of Monte Carlo sweeps\n",
" B, J_v, J_p: Interactation and external parameters\n",
" Returns:\n",
" He_list: The energy after each sweep (Mx1) array\n",
" m_list : The magnetization after each sweep (Mx1) array\n",
" \"\"\"\n",
" start = time.time()\n",
" N = np.shape(S)[0]\n",
" He_list = np.zeros(M)\n",
" He_list[0] = Hamiltonian(S, B, J_v, J_p) # Initial energy of the lattice\n",
" m_list = np.zeros(M)\n",
" m_list[0] = np.sum(S) / N ** 2 # Iniitial magnetization of the lattice\n",
" for j in range(1, M):\n",
" S, delta_He_sweep, delta_m_sweep = sweep(S, beta, N, B, J_v, J_p)\n",
" He_list[j] = He_list[j-1] + delta_He_sweep # Storing the updated energy\n",
" m_list[j] = m_list[j-1] + delta_m_sweep # Storing the updated magnetization\n",
" if show_time:\n",
" print(\"Iteration time with T = %.2f: %.2f\" %(1 / beta, time.time() - start))\n",
" return He_list, m_list\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration time with T = 1.00: 89.18\n"
]
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
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},
"output_type": "display_data"
},
{
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 128\n",
"S = 2 * np.random.randint(2, size=(N, N))-1 # Quick way to generate a random initial spin configuration\n",
"He_list, m_list = compute_quantities(S, 1, 1000, show_time= True)\n",
"\n",
"step_list = np.arange(0, 1000)\n",
"\n",
"fig = plt.figure()\n",
"plt.subplot(2, 1, 1)\n",
"plt.plot(step_list, He_list)\n",
"plt.title(r\"Energy as a function of Monte Carlo sweeps with $N$ = {}\".format(N) + \" and $T$ = {}\".format(T) + \" K\")\n",
"plt.xlabel(r\"$t$\")\n",
"plt.ylabel(r\"$E$\")\n",
"plt.show()\n",
"\n",
"plt.subplot(2, 1, 2)\n",
"plt.plot(step_list, m_list)\n",
"plt.title(r\"Magnetization as a function of Monte Carlo sweeps with $N$ = {}\".format(N) + \" and $T$ = {}\".format(T) + \" K\")\n",
"plt.xlabel(r\"$t$\")\n",
"plt.ylabel(r\"$m$\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fortran implementation\n",
"As we can see above, running 1000 sweeps on a $128 \\times 128$ lattice is quite time consuming. In addition the magnetization fails to stabilize within the first 1000 sweeps so it is clear that we need to run more sweeps. There is further optimizations that can be done with the code, but we will simply implement the same functionality in Fortran in order to obtain sufficient computational speed.\n",
"\n",
"The Fortran code can be found in the appendix. For more information on how to call Fortran scripts from Python, check out our guide [here](https://www.numfys.net/howto/F2PY/).\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"This module 'ising_Monte' is auto-generated with f2py (version:2).\n",
"Functions:\n",
" del_he_sweep,del_m_sweep,s = random_sweep(s_initial,beta,b,j_v,j_p,rand_numbers,rand_list_index1,rand_list_index2,n=shape(s_initial,0),n_squared=len(rand_numbers))\n",
".\n"
]
}
],
"source": [
"# Testing that imported fortran code works\n",
"import ising_Monte\n",
"print(ising_Monte.__doc__)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# random_sweep from Fortran replaces the former sweep function written in Python\n",
"\n",
"def compute_quantities_fortran(S, beta, M, B = 0, J_v = 1, J_p = 1, show_time = False):\n",
" \"\"\"Given the number of wanted sweeps, M, the simulation is ran for M Monte Carlo sweeps. Returns arrays with\n",
" the values of magnetization and energy after each sweep. Calls the function random_sweep from Fortran.\n",
" \n",
" Parameters:\n",
" S: Spin matrix, (NxN) array\n",
" beta: Inverse temperature\n",
" M: Number of Monte Carlo sweeps\n",
" B, J_v, J_p: Interactation and external parameters\n",
" Returns:\n",
" He_list: The energy after each sweep (Mx1) array\n",
" m_list : The magnetization after each sweep (Mx1) array\n",
" \"\"\"\n",
" start = time.time()\n",
" N = np.shape(S)[0]\n",
" He_list = np.zeros(M)\n",
" He_list[0] = Hamiltonian(S, B, J_v, J_p)\n",
" m_list = np.zeros(M)\n",
" m_list[0] = np.sum(S) / N ** 2\n",
" S_f = np.copy(S)\n",
" for j in range(1, M):\n",
" rand_list_index1 = np.random.randint(1, N + 1, size= N ** 2) # Fortran is 1-indexed\n",
" rand_list_index2 = np.random.randint(1, N + 1, size= N ** 2)\n",
" rand_numbers = np.random.rand(N ** 2)\n",
" del_He_sweep, del_m_sweep, S_f = ising_Monte.random_sweep(S_f, beta, B, J_v, J_p, rand_numbers, rand_list_index1, rand_list_index2, N, N ** 2)\n",
" He_list[j] = He_list[j-1] + del_He_sweep\n",
" m_list[j] = m_list[j-1] + del_m_sweep\n",
" if show_time:\n",
" print(\"Iteration time with T = %.2f: %.2f\" %(1 / beta, time.time() - start), \", \\t # iterations: \", M, \", \\t N = \", N)\n",
" return He_list, m_list\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration time with T = 1.00: 0.48 , \t # iterations: 1000 , \t N = 128\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 128\n",
"S = 2 * np.random.randint(2, size=(N, N))-1\n",
"T = 1\n",
"He_list, m_list = compute_quantities_fortran(S, 1 / T, 1000, show_time=True)\n",
"\n",
"step_list = np.arange(0, 1000)\n",
"\n",
"fig = plt.figure()\n",
"plt.subplot(2, 1, 1)\n",
"plt.plot(step_list, He_list)\n",
"plt.title(r\"Energy as a function of Monte Carlo sweeps with $N$ = {}\".format(N) + \" and $T$ = {}\".format(T) + \" K\")\n",
"plt.xlabel(r\"$t$\")\n",
"plt.ylabel(r\"$E$\")\n",
"plt.show()\n",
"\n",
"plt.subplot(2, 1, 2)\n",
"plt.plot(step_list, m_list)\n",
"plt.title(r\"Magnetization as a function of Monte Carlo sweeps with $N$ = {}\".format(N) + \" and $T$ = {}\".format(T) + \" K\")\n",
"plt.xlabel(r\"$t$\")\n",
"plt.ylabel(r\"$m$\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The runtime of the simulation is roughly 200 times faster than with Python, so it is safe to say that our Fortran function is an important tool for running big simulations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Measurements\n",
"\n",
"#### Correlation time\n",
"Before we start calculating the interesting quantities, we need to determine how and when we should do measurements of the system. We are interested in the expectation values $ , and $ and to find these values we use the average value as a the estimator. The average value is an unbiased estimator, but to obtain reliable results, the measurements must be independent. If we were to measure the magnetization and then measure it again only one Monte Carlo sweep later, it is clear that the two spin configurations will be correlated, a significant portion of the spins will not have changed. Therefore, we need to make sure that we wait long enough between the measurements to ensure that the spin configuration is significantly different from the state at the first measurement. By significantly different, we mean that the number of spins which are the same as in the initial state is no more than what you would expect to find just by chance [[4]](#rsc).\n",
"\n",
"The number of Monte Carlo sweeps this process takes is defined as the correlation time $\\tau$. It is related to the correlation in the following way. Let $\\chi(t)$ be the autocorrelation function, it has a maximum value of 1, obtained at $t=0$, where the measurements are totally correlated. $t$ represents the number of Monte Carlo sweeps. The inverse would be if the system is exactly opposite of the initial configuration, making $\\chi(t) = -1$. As $t$ increases, the correlation will drop as the current state (spin configuration) becomes less and less correlated from the initial state. $\\tau$ is related to $\\chi(t)$ as \n",
"\n",
"\\begin{equation}\n",
"\\chi(t) \\sim e^{- \\frac{t}{\\tau}}.\n",
"\\label{corr_time}\n",
"\\end{equation}\n",
"\n",
"$\\tau$ is thus a fitting parameter, which we can use the `scipy` library to determine the optimal fit. The most natural definition of statistical independent measurements is measurements made every $2\\tau$ [[4]](#rsc). If we have ran $n$ Monte Carlo sweeps, we will have $m = \\frac{n}{2\\tau}$ independent measurements. A suitable estimator for $\\chi$ for a measured quantity $O$ is given by \n",
"\n",
"\\begin{equation}\n",
"\\chi_O(t) = \\frac{1}{\\chi_0} \\frac{1}{n - t} \\sum_{t' = 0}^{n - 1 -t} (O(t') - < O >_0 ) (O(t' + t) - < O >_t),\n",
"\\label{corr_func}\n",
"\\end{equation}\n",
"\n",
"where $O(0), O(1), ..., O(n-1)$ is the $n$ measurements of $O$, and $\\chi_0$ is defined such that $\\chi(0) = 1$. $< O >_t)$ and $< O >_0)$ are defined as\n",
"\n",
"\\begin{equation}\n",
"< O >_0 = \\frac{1}{n - t} \\sum_{t' = 0}^{n - 1 -t} O(t') \\quad \\quad < O >_t = \\frac{1}{n - t} \\sum_{t' = 0}^{n - 1 -t} O(t' + t).\n",
"\\label{help_sizes}\n",
"\\end{equation}\n",
"\n",
"Combining equations \\eqref{corr_time} and \\eqref{corr_func}, i.e. using our estimator for the correlation time $\\chi$, and finding the optimal fit for $\\tau$, we can make a good estimate for $\\tau$. In our case we only include the measurements that have positive autocorrelation such that $\\chi_O(t) > 0$.\n",
"It must be noted that even if we only measure the physical quantities every $2\\tau$, we still need to make a lot of measurements in order for our estimator to be close to the true value.\n",
"\n",
"\n",
"Lastly, we note that for extremely low temperatures, there will be almost no changes in spin configuration because the lattice has obtained it's lowest possible energy and it is highly unlikely that any spins flip due to thermal excitations. In this case we do not calculate the correlation time, and simply use every tenth measurement.\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def auto_corr_func(t, tau):\n",
" \"\"\"Dummy function declariation that is needed to use the curve_fit function from the scipy library. \n",
" \n",
" Parameters:\n",
" t: The enumuration of the Monte Carlo sweeps \n",
" tau: Correlation time\n",
" Returns:\n",
" chi: exp(-t / tau)\n",
" \"\"\"\n",
" chi = np.exp(-t / tau)\n",
" return chi\n",
"\n",
"\n",
"def correlation_time(arr):\n",
" \"\"\"Calculates the estimator for the autocorrelation function, chi, as a function of t. Stops the calculations\n",
" of chi when chi(t) becomes egative. Then calculates the correlation time by using the curve_fit\n",
" function from scipy-library.\n",
" \n",
" Parameters:\n",
" arr: The measurement series we want to determine the correlation time of\n",
" Returns:\n",
" tau: The correlation time\n",
" chi: The autocorrelation function as a function of # Monte Carlo sweeps. The size of the array varies.\n",
" \"\"\"\n",
" chi = np.zeros(0)\n",
" n = np.minimum(len(arr), 10000)\n",
" # Here we take the minimum of the length of the array, and 10000 to obtain a correlation time that is\n",
" # independant of the length of the array\n",
" for t in range(n):\n",
" frac = (1 / (n - t))\n",
" \n",
" # plus 1 to include last term\n",
" expectation_0 = frac * np.sum(arr[:(n - 1 - t) + 1])\n",
" expectation_t = frac * np.sum(np.roll(arr, - t)[:(n - 1 - t) + 1])\n",
" \n",
" temp = frac * np.sum((arr[:n - 1 - t + 1] - expectation_0) *\n",
" (np.roll(arr, - t)[:n - 1 - t + 1] - expectation_t))\n",
" if temp < 0:\n",
" break\n",
" chi = np.append(chi, temp)\n",
" # Normalize the autocorrelation function\n",
" chi = chi / chi[0]\n",
" t = np.arange(0, len(chi))\n",
" # Calculates the correlation time with scipy\n",
" tau = scipy.optimize.curve_fit(auto_corr_func, t, chi)[0]\n",
" return tau[0], chi\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is instructive to see how the $\\tau$ varies as a function of temperature. We also will see how well the curve fitting works. In this case the measured quantity $O$ corresponds to $m$, but the calculations are will be preformed the same when using $E$."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Tau is equal to 3.5 when T = 1 K\n"
]
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
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},
"output_type": "display_data"
},
{
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 128\n",
"S = 2 * np.random.randint(2, size=(N, N)) - 1\n",
"T = 2.1\n",
"m_list = compute_quantities_fortran(S, 1/T, 80000)[1]\n",
"\n",
"tau, chi = correlation_time(m_list[70000:])\n",
"t = np.arange(len(chi))\n",
"print(\"Tau is equal to \" + \"%.1f\" % tau + \" when T = \", T, \" K\" )\n",
"plt.plot(t, np.exp(- t / tau), label= r\"$\\chi(t) \\sim e^{- \\frac{t}{\\tau}}$\")\n",
"plt.plot(t, chi, label = \"Estimator for $\\chi(t)$\")\n",
"plt.legend()\n",
"plt.title(r\"Different estimators for the autocorrelation function $\\chi(t)$\")\n",
"plt.xlabel(r\"$t$\")\n",
"plt.ylabel(r\"$\\chi(t)$\")\n",
"plt.show()\n",
"\n",
"T_list = np.linspace(1.5, 4, 20)\n",
"tau_list = np.zeros(0)\n",
"for T in T_list:\n",
" S = 2 * np.random.randint(2, size=(N, N)) - 1\n",
" beta = 1 / T\n",
" # Why we differentiate cold and hot simulations is explained later\n",
" if T < 2.5:\n",
" m_list = compute_quantities_fortran(S, beta, 200000)[1]\n",
" # The reason we only use the last 20000 values of the list is explained later\n",
" tau, chi = correlation_time(m_list[180000:])\n",
"\n",
" tau_list = np.append(tau_list, tau)\n",
" else:\n",
" m_list = compute_quantities_fortran(S, beta, 40000)[1]\n",
" # The reason we only use the last 20000 values of the list is explained later\n",
" tau, chi = correlation_time(m_list[20000:])\n",
" tau_list = np.append(tau_list, tau)\n",
"\n",
"plt.plot(T_list, tau_list)\n",
"plt.title(r\"Correlation time, $\\tau$, as a function of temperature\")\n",
"plt.xlabel(r\"$T$ [K]\")\n",
"plt.ylabel(r\"$\\tau$\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This figure illustrates the importance of using different correlation times for different temperatures. Notice the peak in the correlation time around $T=2.25$ K. As we will see later, this temperature is the critical temperature for the phase transition of the system. This effect is called \"critical slowing down\". The effect of the critical slowing down can be reduced by tweaking the Metropolis algorithm. More information on the topic can be found in chapter 4 in [[3]](#rsc). By determining $\\tau$ for every simulation, we can extract as many independent measurements as possible from our system, thus minimizing the errors in our results."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Equilibrium time\n",
"The last quantity we need to obtain before we can run the full Monte Carlo simulation is the equilibrium time $\\tau_{\\mathrm{eq}} $. $\\tau_{\\mathrm{eq}} $ is a measure on how many Monte Carlo sweeps that is necessary before the system has reached equilibrium. Luckily, the method of determining $\\tau_{\\mathrm{eq}} $ is far easier than determining $\\tau$. We can simply run a small number of simulations for the same $T$ and see when the specified quantity ($m$ or $E$) starts to stabilize.\n",
"\n",
"However, $\\tau_{\\mathrm{eq}} $ scales with $N$ and varies from simulation to simulation. One should always overestimate $\\tau_{\\mathrm{eq}} $ because our measurements are only valid when the system is in equilibrium, and starting to take measurements before this would make our results useless. Especially, at low temperatures $\\tau_{\\mathrm{eq}} $ could be enormous (as big as 150 000 Monte Carlo sweeps). This happens when the system drops to a local energy minimum, and fails to further lower it's energy. It is important to note that $\\tau_{\\mathrm{eq}} $ will normally be low for low temperatures, but it $\\textit{can}$ take a long time to reach equilibrium, thus we need to always overestimate $\\tau_{\\mathrm{eq}} $ to be on the safe side.\n",
"\n",
"Below, we plot the magnetization as a function of Monte Carlo sweeps to illustrate how one can determine $\\tau_{\\mathrm{eq}} $.\n"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
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HW7duVfucVSlYVc0QZma615VSbJuenl7oufMVrISmWAVQ8f5cuXJF5baw6ihuK1tYHTt2RMeOHZXOP3v2DD/88AN27dolCYKKb9BuXIrfgyNHjsDW1lbnvpaWlkWxJDIhhuiIiIqauq1Ii4Me/9BSom8lOlPQNaBosu1cGaIjIiIiIiIiIiIiIjKFFcNaaG9EVEwaNvnAou8AACAASURBVGwoOQ4LC1MbKFMMUiluMVoa3bt3T/7Y1tYWzZo1M91iTMTR0VFynL8VakZGBp48eSJpZ25uXqxrU+fMmTP45ptvEBYWhnHjxiEgIADvv/9+sW0DXJwUX6P29vZo1KiR6RZDJsftXImIilpinHHGKe7KcGYlIGet7a8YcjJ1G8dU1QBNWYWQiIiIiIiIiIiIiIiISoRevXrBzs5Ofvzdd98hN1d1MYbo6GgAeZXYBg4cWCzrKyovX75U+fhtUnBL0fxtY1+8eCE5XxLuz/Hjx9GpUycMGDAAzs7OiI6Ohr+//xsdLONrlBQxREdEVNQqvGOccVp5GGccXQkl4FdEzO+ar2el6TaOsSvR2TjpOC8r0REREREREREREREREb3tZDIZvvrqK/mWobdu3cKaNWuU2l26dAlXrlwBACxduhQ2NjbFuk5jk8n+KdoRExNjwpWYjuI9AABra2uV5015f5KSkjB8+HD07dsXKSkpuHr1Knx8fIyypW5Jx9coKSoBCQkiojdcX3/jjPNOA+OMoytDtnPt9plx15CVqvm6rpXojB1mazvBNPMSERERERERERERERFRqTR06FAEBQXhnXfyCnDMnz8fn3/+OR49eoScnByEhYVh9OjRkMlk8Pf3x5w5c0y84sLLf64AcPLkSb37p6XpWFCjBEtKSpIct2nTBgBQtWpVyda9+t6fjIwMiNp29dJBSkoKunbtiqCgIFhaWuL48eOwt7cv9LilRWFeo9nZ2cjKyjL2ksiEGKIjIipq1R21t9GFodXUyltpb6OKIdvHdplt2FyavLqv/pquITVjb6sqM9etHUN0RERERERERERERERE9LchQ4bg5s2bsLe3hyiKWLFiBWxtbSGTydC/f3+0adMGly9fxvz58029VKNo1qyZ/PGpU6dw8+ZNnft+8803WLRoUVEsq1jlb88LAObm5ujcuTOAvApoitukbt++HRkZGTqPO3bsWAQHBxd6fT4+Prh69SoAYNy4cahdu3ahxyxNFF+jgYGBSEhI0LnvggULsHnz5qJYFpkIQ3REREVN4S8ICiXXwECWRQ3D+hmynWvZ8obNpcnl3eqv6RpSM3aYTabj8zTCX38QERERERERERERERHRmyEzMxOzZs1CkyZNEBsbi5SUFNy9exd3797Fy5cvsXfvXjRv3tzUy9RKKPD5Z06O6oIWXbt2lT8WRREfffSRTtXTwsPD4ePjgylTphRuoSXAhQsX5I/HjBkDCwsL+bHi/YmNjYWfn59OY65ZswYXLlxA//79C7W25ORk7Ny5U37s5OSktq0u3zddXxeq2mdnZ2tsq+26oRS/BykpKTpXgNy/fz82b94MT0/PIlkXmQZDdEREpYWhlegMDZAZGv4zk2lvo4/IXeqvmSxEp2slOiNXwCMiIiIiIiIiIiIiIiIlmZmZkmNt4R1jjZGrUARDW8goJSUF/fv3R3x8PA4fPgw7OztUqlQJDRo0QIMGDVCuXDm912wq5ctLC048f/5cZbshQ4ZItss8ffo0vL29Nd6rixcvws3NDR4eHpJKbaXVTz/9BCCvCt28efMk1yZOnCg5XrZsGQICAjSO9+2332Lu3LlYvnw5ypQxYGcxBbdv35ZUv3v27JnKdunp6Xj69Kn8uODPSj5dXxf5KlWqJH+sWLGvoOfPn+PJkyfyY2NsY5tv3LhxkMn++Xx79+7dWLVqlcY+wcHB8PT0xLx581C1alWjrYVMjyE6IqLSovlIw/oV95aihmwDayiTbeeqayU6budKRERERERERERERERU1AqGdbSFd1RRDAkB0Glbx+TkZJWPVfHw8EBoaCgmT55c6PATAGRlZUmO1QWbVF0rbFUvW1tbyfG5c+ckx4GBgUhPT0eFChWwcOFCybWNGzeie/fuCAsLk4QQY2NjMWfOHHTr1g0WFhZYsWKFyrnT09Plj7WFqRSfZ2pqqsa2iuMW7KvO/fv3NV4PCQnB+fPnAQDLly9XCgV26NABAwcOlB/n5ubCw8MDU6dOlWx9m5ubi0uXLmHYsGGYNm0a+vXrhzFjxijNV3DNaWlpGtdXsHJcUFCQ5HuSb9GiRZL7o+55a3tdhISESH6uFKsuPnnyBD/++KPSmK9evcKoUaNQuXJl+bn4+HiV8wPSe6Dt+eevefr06ZJz8+bNw7BhwxARESE/J4oibty4AS8vLwwePBhNmzaFj4+P1vGpdDFyuSAiIjKKms2B+D//ObbrCFRzMHAwA5P4aS8N62cmA3IytLfTVepT9dd03eLW2BXhdK5ExxAdERERERERERERERFRUcsPKuW7ffs24uPjUbNmTZ36p6enIzIyUmnMlJQUyfabiuLi4vDq1Sv58dWrV9WO/+eff+Lw4cMAgKlTp+LQoUOoW7cuKlSooBRkEgQBFhYWaNq0KXr27Km2Qt3jx48lxw8fPkT9+vVVtn3w4IHkuGBgUF9dunSRHHt7e0Mmk6FmzZrYsmULnj59ihEjRgAAPv30U4SGhiIkJETePiwsDK6urqhYsSJsbGzw7NkzecjtnXfewaFDh1C9enWleRMSEiRrj4uL07hOxesJCQl4+PChUtArn2JoDQBiYmLQsGFDjeOfOnUKvr6+WLx4MczMpDWsoqOjMWHCBADAtGnTMHv2bJVjbN26FR06dEBsbCyAvLDWli1bsGXLFlhZWcHS0hKPHj2ShyZbt26NPXv2KL1uVD2HCxcuwNXVVe36mzVrhqpVq+Lly7zPhaOiojBgwAB88sknqFGjBm7fvo0tW7ZAEAQ4Ozvj8uXLAIBffvkFx44dQ2pqKmJiYuRhMmdnZ1SoUEEeXvP19UXNmjXRuHFj7N27F6dPn8bp06fl848fPx6rVq2SV32cOHEi7t27h969eyMzMxO///471q9fj2HDhqFx48bYuHGj/L6vX78enTt3RpMmTVCxYkUAedUj79y5Ix//+vXrGn+G861YsQJnz56VPz8AOHDgAA4cOIDKlSujWrVqiI+PlwcJ7e3tceDAAaXKe1T6sRIdEVFJNO4XoJ0XYNsWaD8V8Nhr+Paq1k0M65dw27B+xt7OVRNWoiMiIiIiIiIiIiIiInrrpKen4+rVqwgJCcG4ceNw7do1yfWcnBy4ubnhxx9/xOXLl5GYmKg0RkpKCq5cuYKgoCAMHDhQEogD8ipg9erVCwEBAYiOjkZWVhbS0tJw9epVHDp0CJ6enpL2v/32G2bPno0zZ84oVcKrWbMmLC0tAQBJSUnYu3cvVq1ahS+++AJLliyRfPn6+sLHxwf9+/dH/fr1cfLkSaW1P3z4EMePH5ec27x5s8rKbKmpqdi9e7fk3I8//qhTlS517O3t5SE5IC+s5ubmhrZt2yImJga7du2Sh7zMzMxw8OBBjB8/Xmmc169f4969e/IAXdu2bXH27Fk4OztL2sXExOD48eMYPXq05DmePn0aX375JS5duiSvcJaQkIBLly5h7dq1OHv2rGSc0aNHIzg4GLdv530Omp6ejtOnT+Ozzz5DcHCwpK2XlxcOHz6MGzduqL0PzZo1w/r169G0aVNs2LAB4eHhOH/+PJYvX462bdsiKSkJfn5+2LRpk8rQGwDUqFEDZ86cQbt27ZSuvXr1CrGxsfIA3ejRo3Hq1CnJFqJJSUk4duwYpkyZgoMHD0r6T5gwAdu2bcOlS5ck26HmK1eunNLWpceOHUO/fv3g7OyMMWPGwMnJCSEhIRg2bJi8TXJyMvr166e05W7FihUxc+ZMyfrd3d3RqlUrHDt2DPv375eEQhs3bow1a9bIjzMyMrBw4UK0b98eXbp0weLFizFjxgx8/fXXkjWamZkhKCgIR44cQWpqKh49eoSAgAD07dtXErJMTU2Fm5sbgoKCEBUVhZSUFKV7kL/u3377DX379lW6lpycjHv37skDdL1798bZs2dhb2+vciwq3QRj7hVMZEyCINQBEAfk/dKtU6eOiVdEVAi+lrq3bT4SGLbVeHM/iAS29TCsr6/y/1Bo9WV9IO2FYfPpa+IJoG4H7e0eRQFbuhlv3imngS2u2tsNXAe0+dB48xIRERERERERERERvUXu3LmD7OxsyGQyrRWh6O0SERGhMnSkzrfffospU6ZIzgUHB0u20tRm3759qFmzJlxcXLS2HTZsGPbv3y85d/fuXcyfP1/pvDbly5fHxYsX0bx5czx48ACenp44d+6cyu1b69Spg6FDh2LdunVISUnBiBEjEB4ejqSkJKW2VlZWmDp1qtptU7VJTk7GnDlzEBQUhMzMTDRu3BiTJk3SuF1teHg4duzYgdOnT+Px48fIyclBjRo10L59e4wePRqDBg1S2dfV1RVhYWEa17N06VIsWrQIy5Ytw7/+9S+NbR0cHBAdHY2oqCi0bt1aY9t69erh3r178mN7e3t51bjx48fDz88Pfn5+OHLkCB49eoSKFSuiXr16GDBgALy8vNRWByxIFEUEBgYiICAAERERePr0KcqVK4e6devCxcUFkyZNUvmaX716NebOnat1/Dlz5mD16tUqr4WEhGDlypWIiIiAKIqws7NDnz59MHnyZPmWq+np6ZgyZQp+/vlnyGQyuLq6wtfXV7IlK5C3nerChQuxe/duJCYmwsHBAZ6envD29pZXjCvo119/xdq1a3HhwgW8fv0adnZ26NWrF2bOnAknJycAwL///W/ExsZi6NCh6NOnj6QKnJubG44cOaL1Hhw+fBhubm4a2xw9ehR79uxBeHi4PHhoa2uLzp07Y9y4cejZs6fWeUg1Y/9Of/DgAezs7PIP7URRfKCpvS4YoqMSiyE6eqOoC9E5fQBcl/5FAD65ClS1N97cubnAF1W1t1PFkBDdqneB1GeGzaevCceAep20t3sYCWw1MEioykfngW86am83YC3QbpLx5iUiIiIiIiIiIiIieoswREdvkkePHmHkyJHw9PSEm5sb7t69i8ePH+Ply5dISUlBRkYGsrOzkZWVhaSkJNy/fx/h4eFISEjAmDFjsGfPHlM/BYJyiG7nzp2mXRBRKVEaQnTFuOceEREpGb4D6L4IuPsbYN0IqNsRkJkbdw6zYt65u1i3c9Vxm9ZcI2+rWqac9jYAt3MlIiIiIiIiIiIiIiIiXLt2Df369YOLiwumTZsGADoVkcnIyMCYMWNw5cqVol4iEdFbr5iTFUREJCEIQPV3gQ5TgAbdjB+gMwWzssU3l64hNWOH2cro+BxZ7ZWIiIiIiIiIiIiIiOitdvfuXfTo0QMvXrzA+vXr9eprbm6OSZMmoUKFCkW0OiIiyscQHRFRcWjlqXzOeXzxr6M4mJUpvrl0DtHpWLFOV2Ur6jgvK9ERERERERERERERERG9zby9vfH8+XM0b94c1tbWeve/e/cuunXrVgQrIyIiRQzREREVh/aTAfMq/xybWwLtvEy3nqJUoWrxzaVrSC3XiCE6pw90f44M0REREREREREREREREb21UlNTcfz4cQBAbGwsMjIy9OofHx+Pbdu2YdasWUWxPCIiUsAQHRFRcajdCvA6CXT7DHD9HJgcCtRqYepVFY3uC4pvrtxiqkRXplzef23bAn2/1L3anrEr4BEREREREREREREREVGpIggCAODp06cYO3YskpKStPYRRRGHDh2Cq6srVq5ciTp16hT1MklHmZmZ8sfp6ekmXAkRGZvM1AsgInprWDcq3oCZovJWQPqr4pnLrkPxzAPoXuktW7+/6pFoMggYsgnISAKq1P7nvE1T4OkN46yPiIiIiIiIiIiIiIiI3jiVKlXCzJkzsW7dOgDAvn37EBoailGjRsHFxQUNGjSAhYUFcnJykJiYiJiYGERERODIkSOQyWTYvXs3OnQoxs/eSKOEhAQ8efJEfnz16lUTroaIjI0hOiKit0F5y+IL0cnKF888gO4htaw0w+cwKwOYW+R9KSpvqb2vMbeRJSIiIiIiIiIiIiIiolJn7dq1qFKlCr788ktkZmbixYsX2LRpEzZt2qSyvY2NDWbMmIF58+ahfPli/NyN1IqLi8Ply5exZs0a5CrslHXr1i1MnDgRI0aMgK2trTwUSUSlE0N0RERvg+IMtpkV468WnSvRFaKUsqBm61ZdAnKsREdERERERERERERERPRWMzMzwxdffIFp06Zh9+7dOHnyJG7cuIHnz59DEAS88847qF27Njp27AhXV1cMGjQI5cqVM/WyScEHH3yAyMhIldd27NiBHTt2AAAOHz4MNze34lwaERkRQ3RERG+DXr5AwGjl8436A/8NMe5cZmbGHU8TUcdKb1mvDZ9DXShQl4AcK9ERERERERERERERERERgNq1a2P+/PmYP3++qZdCeoqIiDD1EoioGBRj0oGIiEymflegeiPpuU4ztQTohCJdklHovJ1rISrRmampRKdLgE/XkB8RERERERERERERERERERGZDCvRERG9DcwtgA+DgQvfAs+jgQauQJsPgXMb1PdpMaqYFlcIxbKdq5q8uS5V5liJjoiIiIiIiIiIiIiIiIiIqMRjiI6I6G1hYQP0/Jf03DsNgBf/U92+2zzD52o5Grj6k+H9daVriC432/A5kh6pPt/AFYi/prkvK9ERERERERERERERERERERGVeNzOlYjobdbCXfX5xm5ANQfDx+23EnDsZ3h/XaU+162dthBdrZbqr90NVX2+nZcO8zJER0REREREREREREREREREVNIxREdE9DZr5aH6/Kg9hRu3fBXAIwD46ELhxtHmzFrd2uVkqT5v4wRM+hWoZK3/3FXraW+Tkaz/uERERERERERERERERERERFSsGKIjInqbWdkBbl8BZmXzjstbAROPA4JgnPHLVzHOOOokP9atnbpKdFPDALv2gFBEvw4jdwBxF4tmbCIiIiIiIiIiIiIiIiIiIjIKmakXQEREJtZ2AtB8OPDif4B1E0BWznhjm5WQXzPqtlXNX19RhegA4BdvYEYRV+QjIiIiIiIiIiIiIiIiIiIig7ESHRERAeaVgVotjRugA0pQiE5FJTqhzD8V97LSim7uZ7eAxIdFNz4REREREREREREREREREREVCkN0RERUdMzKmHoFeXKzlM8pBvye31Xft1bLws+fmVL4MYiIiIiIiIiIiIiIiIiIiKhIMERHRERFpyRXolNcm6aQm2Pfws9flNvFEhERERERERERERERERERUaHwU30iIio6JSZEl6N8royOaytvWTTzExERERERERERERERERERUYnAEB0RERWdkhKiy9Gynasmolj4+c9/U/gxiIiIiIiIiIiIiIiIiIiIqEgwREdEREXHrAxQp13RjW9VT3ubrDTgz0Dl8zoH/IwQoru8q/BjEBERERERERERERERERERUZFgiI6IiIpW3xVFN7Z5Fc3Xc3OBn9xVXyvOSnRERERERERERERERERERERUYjFER0RERatO26IbO1fFNq2KHl8B/nda9TWdQ3S5ei2JiIiIiIiIiIiIiIiIiIiISheG6IiIqPTKydR8/fc16q+VKadwYGC1uU4zDetHREREREREREREREREREREJQZDdEREVHrlZGu+/t8j6q9JQnSaaAjYdZ2r4xhERERERERERERERERERERUUjFER0REpZe27Vw1KaPrdq4aQnQVrIAZF4HGboavg4iIiIiIiIiIiIiIiIiIiEyKIToiIiq9NG3nmpujua9iJTqNu7lq2erVuhHg/oPmNgUlPwHSXunXh4iIiIiIiIiIiIiIiIiIiIqEjmV4iIiISiBN27nqE6LTFJTTVIlOHw8igITbwIXNwOOrgGAGtB4LuP0HMCtjnDmIiIiIiIiIiIiIiIiIiIhIb6xER0REpZeoISin6RoAmCnkyCWBuoLj6Bii6zRT8/VtPYFD0/MCdAAg5gKXdwFXvtdtfCIiIiIiIiIiIiIiIiItsrOzcfLkSVMvg4io1GGIjoiISq9cI1Wi01gJTscQXQ0n3doVdNLXsH5EREREREREREREREREABISEvDTTz9h7NixqFGjBnr37q2x/dy5c2FpaYnmzZsjKiqqmFZJRFSyMURHRESmVb+b4X01hej0qUQHQX27cha6rUVTNTtN0l4a1o+IiIiIiIiIiIiIiOgttXr1agiCoParQoUKiI+PN8pcHh4eGueyt7c3yjyGiI2NhbOzM2xsbODh4YE9e/bgxYsXGvv89ttvWL16NZKSkvDXX3/h448/LqbVEhGVbAzRERGRabn/CDQfAZS3BGo0169vbrbydqv/Ow0EzwZO+WnuG3v2n8eChhBdS3fd1lKmrG7tiIiIiIiIiIiIiIiIqFAmTJiAyMhIHDhwAMOHD1e6np6ejq+++qrQ89y/fx/79u1TOl+mTBn4+PggNDQUx48fL/Q8hrKzs8PFixcRFxeH9957T6c+OTnSQhRiwc/aiIjeUgzRERGRaZlbAMO2AZ/FAtPPAO9qLi+tRMz95/G1QGD3YCBiO3Bhs+Z+GUn/PBbU/Dqs3Rqo+I5u6zC0Eh0RERERERERERERERHppVq1anB2dsYHH3yAwMBANG+uXKhh06ZNSExMLNQ869atQ3a28s5IXl5eWLVqFXr06IFGjRoVao7CMDMzg0wmg62tLUaOHKlTn169emHatGmwsLBAs2bNsG7duiJe5Zvh8ePHpl4ClUDPnj1TCqZS6VVqQnSCINiaeg1ERFSE8qvBqQu0qaO4peuByYZOrvr0+/66D8FKdERERERERERERERERMVOEAR06dJF6XxSUhI2btxo8LhJSUnYtm2bymvdu3c3eNyiUqVKFZ3aCYKATZs2ITk5GX/++SecnZ2LeGWlX3JyMnr06GHqZVAJk5OTg+HDh+Phw4emXgoZSakI0QmCUBfACUEQhpl6LUREVMTMZPq1zw/R5WQZPmer0arPV7XXfQxWoiMiIiIiIiIiIiIiIjKJatWqAcirzKZo3bp1SEtLM2jMLVu2ICkpCb17K++iVL16dYPGpNJpypQpuHXrlqmXQSXMwoUL8fvvvyM3N1d7YyoVij1EJwhCQ0EQfhMEIVkQhEeCIBwUBGGGIAiO6vqIongfQE8AcwVB+Kz4VktERMXOwlq/9vkhuqc3DJ/TebxyeK9OO6BKLd3HYIiOiIiIiIiIiIiIiIjIJMqUKQMAGDJkiOT806dP8d133+k9XnZ2Nr7++msAwLx589TOR2++devWISAgwNTLoBLm0KFDWLlypamXQUZmikp0uwG4AqgEoCaAQQC+BnBTEIT7giB8JwjCaEEQbBQ7iaIYj7wg3RBBEGYV85qJiKi42HXUr32uEfaYt7IDRu4GqtQBIAB2HYARu/Qbg9u5EhERERERERERERERmZSbmxuaNWsmObd69WpkZ2frNU5AQADi4uLQqlUr9OrVy5hLpFLk4MGDmD17tqmXQSXM+fPnMWbMGIiiaOqlkJGZIkTXDIDiK0lQ+LIFMB7AHgCPBUGIEgRhtSAI7wuCUEEUxVQAEwCsFAShbXEvnIiIDNRrie5t7bvoN7Y8RCfo18/GSXrceAAw6y9gwUNg0gnA0la/8ViJjoiIiIiIiIiIiIiIyKQEQcBnn0k3t7t3757elcTWrl0LAJg7d67R1lZS6RswfFvs2LEDo0aNeuu36szMzMTdu3dNvYwS4+jRo+jTpw9ev35t6qVQETBFiO7O3//dAWAMgDUAIgDkQBqoEwA0BzALQAiAl4Ig/AFgLYAyAP5dvMsmIiKDdfxI97ZWdvqNnb+dq6BniE6mIvQmCEC5SvqNk48hOiIiIiIiIiIiIiIiIpNzd3eHvb295NyKFSt0rhoVGhqKK1euoF69ehg5cmSh1pKamoqNGzeiT58+qFOnDszNzWFjY4OOHTvCz88PCQkJOo+VmJiIr776Cl26dIGNjQ0qVKgAJycnLFy4UK9x8te1d+9eDB06FAMHDlS6PnPmTAiCoPTl6+sraRcVFaWynSAI2Llzp9r5X79+jb179+KDDz7AoEGD5OefPHmCpUuXokOHDqhWrRosLCzg7OyMrVu3KoXZsrOzERgYiIEDB6Ju3booX748GjRogAULFiAtLU2v+1HQxx9/jIkTJyIrK0tyvuBzjIqKUtk/KysLu3btwuDBg1GvXj1UqFAB1apVQ+vWrbFw4ULExsZqXUN8fDzWr1+PLl26wN/fX37+6tWr+Pjjj9G0aVNUrlwZ1apVQ69evXDq1CmlMV6+fImvv/5a/pqpWLEinJ2dsX37dq3zR0ZGwtvbG7Vr18bSpUvl50+fPo1x48ahQYMGKF++PGrWrIkBAwbg4MGDWsfMl5CQgJUrV6Jr166oVasWzM3NUatWLbi6uuKrr75Camqq1jFiY2OxbNky9O7dW34uOjoao0aNQvXq1WFtbS1Zt6KLFy9ixowZaNmyJapUqYKyZcvCxsYGrq6u+M9//qP29bNmzRoMGDAAycnJkvP169eXvC4OHTqE/fv3q/y5cHV1VRrXyspKZdsPP/xQ4z24dOkSZs6ciTlz5sjPhYaGomvXrqhcuTIcHBxw+PBhlX2N+d70JjFFiG7b3//9ThTFn0RRnCuKYnsA7wAYiLxQ3WUAuZAG6soB6Azg/b/7uxbnoomIqBBUBdY0GbBG97Y5mXn/1btcrp6hO224nSsREREREREREREREZHJyWQy+Pj4SM5dv35dbZikoDVr8j6nmjVrFmQymcHrOHLkCBo1aoQjR47A29sbR48exdGjRzF06FBcuHABCxcuRJMmTXRa19GjR9G0aVPMmTMHjRs3xp49e3D+/HksW7YM58+fh6OjI44ePapxjPT0dBw8eBCjRo2CjY0N3N3dcfDgQZWBofnz5+Pw4cNo21bzBoFNmjRBVFQUgoKC0KJFC41tX7x4gS1btmDgwIGoXr063N3dcejQISQlJQEAfvrpJzg6OmLx4sW4ePEiXrx4gdTUVFy5cgVTpkzBjPe2MgAAIABJREFUJ598Ih/r0qVLaNOmDUaNGoXg4GDExcUhIyMDMTEx8Pf3R9++fZUCcPrw8fHBzZs3MWPGDMn5mzdvSr6aNGmi1Pf8+fNo3rw5Nm/eDE9PTxw+fBgnTpzA5MmTcf36dfj5+cHJyQnbtm1T6nvnzh34+/ujc+fOsLW1xccff4yzZ88iIyMDOTk5+Oyzz+Ds7Iz169fj5s2bSElJwYsXLxAaGopevXph37598rF++OEHODo64pNPPsHZs2fx7NkzpKWl4cqVK/Dy8sKCBQuU5r9+/To+++wzvPvuu2jbti02bNiA58+fAwBevXoFd3d3dO/eHd9//z1iYmKQkZGBJ0+eICQkBEOHDsWwYcOQkZGh8d7u2LEDjo6OuHbtGhYtWoQTJ07g0KFDcHFxQVhYGGbNmgUnJyecO3dOqW98fDy++eYbuLq6on79+vjXv/6FO3fy6niFh4ejTZs2CAwMxPPnz5GQkIDFixfj2rVr8v7Jycnw8PBAhw4dEBQUBC8vL4SGhuLYsWMYPnw4fv/9d8yePRvOzs6Ii4tTmt/DwwM3btyAn5+f5PzJkyclr4tevXqhT58+OHXqFDw8PDTeDwA4d+4cTpw4geHDh2tte+PGDSxZsgRNmjRB+/btsXHjRvn3aMOGDejduzf++OMPpKSk4H//+5/KIJ4x35veNIa/4xtuK4CxAD4FcDb/pCiKyQCO/P0FQRAsAXRFXliuO4AWkIb+HhXPcomIqNi1nQQ8vQlcUv7Ho5Iza4GB6yDdKVwHgpFz5GYM0RERERERERERERERlRi/eOd91kBFw6YJMGi9qVeh1sSJE/HFF1/g6dOn8nP+/v6Sqmeq3LhxA8eOHUPVqlUxadIkg+ffs2cPPvzwQ8yYMQPr1q2TXOvRowesra2xbNkyJCQkYNiwYfjll1/Qt29flWMFBgZizJgxEEURhw4dklSOa9myJYYMGQIfHx/5FrTqzJ8/H0lJSUhMTNS6FWWdOnVQp04d2NrawtnZWW07c3NztGzZUl7RS7EqWEH37t1Damoq7O3tlYJ7y5Ytw7JlyzBy5EgMGDAADRs2RGJiIpYsWYKwsDAAeQEhd3d3xMXFYcqUKZgwYQJWrVqFmjVrIj4+Hv/5z39w7NgxAMDvv/+OHTt2YMqUKRqfpzp169YFAFSvXl1yvnHjxhr7hYaGYtCgQejbty/27t0rCWG6uLigYcOG8PLyQmpqKiZPngxBECSvs7/++guVKlWCpaWlpPJeeno6Bg8ejIsXL+LTTz9Fz549YWtri+joaMyaNQtxcXHIzc3F1KlT8f7772Px4sUIDAzE7Nmz8d5778HKygo3b97E4sWLcfv2bQDAl19+ibFjx0qCgI8fP4atrS2aNGki2cL12bNn6N69OzIzM7Fp0ya0atUKOTk5OH78OP7zn/8gJSUFAHDgwAF4eHggKChI5f1ZsWIFPv/8c6xduxazZs2Sn2/evDn69euHsWPHYs+ePYiNjUXfvn0RFhaGVq1aAQDCwsKwdetWpKamyl8T+e7cuYPBgwejZ8+euHv3riQ4l19RLTc3F4MGDcLp06cB5AXJ2rRpI2/Xs2dPVK9eHUuXLsWtW7cwcuRIhIeHQ1DYDa1WrVryL0UODg5K1S8BwNXVFe+99x5OnDihsbJbkyZN0KRJE7z33nv4+eef1QZAN27ciMjISFy/fh23bt2SXNu/fz8WLVqEMWPG4Ndff8WTJ08A5FWwzMrKQtmyeZ9lG/O96U0k6Fqy1KiTCkId5AXoNomiuELHPlbIq0TXGnnlg34SRZEbL7/B/n6dxAFAXFwc6tSpY+IVEVGh+Foqn7OoCfj8V78+KtslAvF/AZvf0309ddoBXid1b69N0mNgreZ/OKvlm2i8dRARERERERERERERvSHu3LmD7OxsyGQyNGzYUL/O23oBDy4VzcLI+J+zFJKvry+WLFmCHTt2yCsv+fn5YeHChZJ2p0+fRrdu3dSOM3HiROzYsQMLFizA8uXL5ecVgzQAcOrUKZXbMgLAtWvX0L59e9SpUwe3bt1SWc0uKSkJNWvWlIfJatWqhbt376JChQqSdpGRkejUqROysrKwePFiLFmyROWcoiiibdu2uHz5suScOs2bN8dff/0FAOjWrZs8WFRQenq6ZE3//ve/lbZ0zXf37l28++678mPF70VBbdq0ka+1XLlyaN26Nfbt2wc7OztJu5SUFDRo0ADPnj0DkLdtZkpKCo4fP47WrVtL2mZnZ8PZ2Rl//vknAKBTp04IDw9XfQN0lP+6yqfpnj569AjNmzdHTk4OYmJiULVqVaU2ubm5sLe3l1c5q1ixIu7cuYPatWtL2r169QrVq1dHTk4OgLx7NG7cOKxbtw4VK1aUtL1w4QI6duwoP3ZwcEC1atUQHBwMa2trSdv79+/D0dFRXi3u888/V6qqBgBpaWmwsrJCZmam/NzSpUuxcOFCpZ+F69evw8XFBS9fvpSf+/777+Hp6Slpd+zYMfTr1w9du3ZVCsHlu3PnDhwdHeXHrVq1wpUrV5TaDRw4EMHBwQCAmjVronbt2liyZAnc3NzkPyubN29GmzZtEBISgnLlyiEkJAQDBgyQj5GSkoJKlSpJxn316pXk+3bmzBm8957y5887d+7EhAkT5McxMTEqQ3T5OnbsiAsXLgDQ/PMGAHZ2dnjw4AEAYPz48Sq3Rc7KykKNGjXk97xTp054+fIlgoOD4eDggKdPn2L69Ok4ceIEZsyYgRUr8mJZxnxvMkShfqer8ODBA8X3DDtRFB8UdkxTbOeKvxfuAmCCIAiq3+WV+7wSRTFEFMXloiguY4COiKiUceipfK6vv/HGN9OzuKrRK9GVMe54REREREREREREREREZLAZM2agSpUqknP+/uo/m4qPj8ePP/4Ic3NzfPzxxwbPO3XqVGRkZGDSpElqt4OtUqUKunbtKj9+/Pgxjhw5ImmTnZ0NT09PZGVloXLlypg3b57aOQVBwMiRI3Veo6ptSFUpX768zmOWKaP7Z2WKYbtKlSrhxIkTSgE6ALCwsMCQIUPkxzExMdizZ49SgA7I28ZXcevMixcvSkJgRW3OnDl48eIFRo0apTJABwBmZmbo37+//Pj169f48ccfldpZWVmhWrVq8uMuXbpg69atSgE6AOjQoYMkkJSQkIDDhw8rBeiAvAp7iuHPP/74Q+U6K1SoIKnC17NnTyxatEgpQAcATk5O+PbbbyXnFAOoQF7oK78q4LRp01TOCQANGzZEo0aN5MdRUVGIiIhQate0aVP54/j4eAwfPhxubm4AgLJly8Lf3x8vX77EyZMnUa5cOQCQh0bz5VfkU2RlZSW5b1FRUWrXqg9j/xyVLVtW8j0/d+4ctm/fDgcHBwCAjY0NgoKCkJycLA/QAcZ7b3qTmSREBwCiKN5HXmW59oIgHBQEobKp1kJERMWg7wrAosY/x04fAI3djDe+mKu9jaKK1bW30YdM93/8EBERERERERERERERUdGytLTE9OnTJeeOHz+usrIVAKxfvx4ZGRkYN24catSoobKNNmfPnsX58+cBQG2lunxt27aVHOf3yxcQECDfstHNzU2palZB+qxZVRirOClWtapSpYpS2FGRYmAKgKRSWUGK4cD8inDF4f79+9i3bx+Awn/f8yneI1UBQ0WK98jKygo2NjZq2yreo+joaLXt8rf/BKB118ARI0agRYsW8uNbt24hMjJSfhwYGCivvmeM+1OwKlrBn3NVunTpIg8BWltbq60cp/izkZhYcncTU7wHLVu2ROfOnTW2N+Z705tMz7I9xiWK4nMA/QRB8AFwSRCEaaIonjblmoiIqIhYOwKfXAMeXAQq2QD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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 128\n",
"S = 2 * np.random.randint(2, size=(N, N)) - 1\n",
"\n",
"# High temperature\n",
"T = 5\n",
"beta = 1 / T\n",
"m_list = compute_quantities_fortran(S, beta, 30000)[1]\n",
"step_list = np.arange(30000)\n",
"plt.plot(step_list, m_list, label= \"High temperature\")\n",
"\n",
"\n",
"# Medium temperature\n",
"T = 2.2\n",
"beta = 1 / T\n",
"m_list = compute_quantities_fortran(S, beta, 30000)[1]\n",
"plt.plot(step_list, m_list, label= \"Medium temperature\")\n",
"\n",
"# Low temperature\n",
"T = 1\n",
"beta = 1 / T\n",
"m_list = compute_quantities_fortran(S, beta, 30000)[1]\n",
"plt.plot(step_list, m_list, label= \"Low temperature\")\n",
"\n",
"\n",
"plt.xlabel(r\"$t$\")\n",
"plt.ylabel(r\"$m$\")\n",
"plt.title(r\"The development of the magnetization as a function of $t$, at different temperatures\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In high temperature case, we see that system is basically in equilibrium from the start of the simulation, while in the medium temperature case, the system reaches equilibrium after around 8000 sweeps. We also see an example where the system takes a lot of time to reach equilibrium. As a matter of fact, in the low temperature case, the system still has not reached equilibrium after 30000 sweeps. This illustrates the importance of using a high $\\tau_{\\mathrm{eq}} $. Luckily, we have tons of computational power at our disposal, so we can afford having a high $\\tau_{\\mathrm{eq}} $. Another important point is that the sign of the magnetization is not of any physical importance as long as there is no external field. If the magnetization is negative, one could simply rotate the entire system (turning it upside down) in order to have positive magnetization. Going forward, we will talk about the magnetization and the $\\textit{magnitude}$ of the magnetization interchangeably.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Full simulations\n",
"Let's finally incorporate all of our help functions and theory into a single function. "
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"def full_simulation(K, N, sweeps, T_min = 1, T_max = 4, B = 0, J_v = 1, J_p = 1, show_time = False):\n",
" \"\"\"Runs the full Monte Carlo simulation and returns the magnetization and specific heat as a function of\n",
" temperature. The temperature interval is controlled by the user.\n",
" \n",
" Parameters:\n",
" K: Number of temperatures we want simulated\n",
" N: Number of columns and rows in the lattice\n",
" sweeps: Number of sweeps we want to run after the system has reached equlibrium\n",
" T_min: Minimum temperature of our simulation\n",
" T_max: Maximum temperature of our simulation\n",
" B, J_v, J_p: Interactation and external parameters\n",
" Returns:\n",
" m: The magnetization as a function of temperature, (Kx1) array\n",
" c: The specific heat as a function of temperature, (Kx1) array\n",
" T: List of the temperatures that was used in the simulation, (Kx1) array\n",
" \"\"\"\n",
" T = np.linspace(T_min, T_max, K)\n",
" betas = 1/T\n",
" m = np.zeros(K)\n",
" c = np.zeros(K)\n",
" for i in range(K):\n",
" S = 2 * np.random.randint(2, size=(N, N)) - 1\n",
" # Seperating the two cases (High/Low tau_equil)\n",
" if 1/betas[i] < 2.5:\n",
" if N < 129: # Also seperating the biggest lattices from the smaller ones as they have a higher tau_eq\n",
" tau_equil = 60000\n",
" He_list, m_list = compute_quantities_fortran(S, betas[i], tau_equil + sweeps, B, J_v, J_p, show_time)\n",
" else:\n",
" tau_equil = 300000\n",
" He_list, m_list = compute_quantities_fortran(S, betas[i], tau_equil + sweeps, B, J_v, J_p, show_time)\n",
" else:\n",
" if N < 129: # Also seperating the biggest lattices from the smaller ones as they have a higher tau_eq\n",
" tau_equil = 10000\n",
" He_list, m_list = compute_quantities_fortran(S, betas[i], tau_equil + sweeps, B, J_v, J_p, show_time)\n",
" else:\n",
" tau_equil = 50000\n",
" He_list, m_list = compute_quantities_fortran(S, betas[i], tau_equil + sweeps, B, J_v, J_p, show_time)\n",
" \n",
" try: # If the system is too stable (i.e no notable changes during the simulations), the correlation_time\n",
" # function will not work. That is why we use a try/expect\n",
" tau_m = correlation_time(m_list[tau_equil:])[0] \n",
" step_size_m = int(2 * tau_m + 1) # Independant magnetization values\n",
" \n",
" \n",
" # Same for E and c, we assume that they have same equilibrium time as m\n",
" tau_E = correlation_time(He_list[tau_equil:])[0]\n",
" step_size_E = int(2 * tau_E + 1)\n",
" \n",
" # At extremly low temperatures, there is no need to find the correlation time, because the lattice almost \n",
" # does not change. In that case, we just use step_size_m = 10, step_size_E = 10\n",
" except:\n",
" step_size_m = 10\n",
" step_size_E = 10\n",
"\n",
" \n",
" # Calculating the average magnetization\n",
" m[i] = np.sum(m_list[tau_equil::step_size_m]) / len(m_list[tau_equil::step_size_m])\n",
"\n",
"\n",
" He_list_ind = He_list[tau_equil::step_size_E]\n",
" # Calculating the average energy and the average squared energy\n",
" He = np.sum(He_list_ind) / np.shape(He_list_ind)\n",
" E_squared = np.sum(np.power(He_list_ind, 2)) / np.shape(He_list_ind)\n",
" # Calculating the specific heat by determining the energy fluctuations (as mentioned in the theory)\n",
" c[i] = betas[i] ** 2 * (E_squared - He ** 2)\n",
" \n",
" # Sign of magnetization is not of physical importance\n",
" m = np.absolute(m)\n",
" \n",
" # Want the specific heat independant of the lattice size (i.e. the specific heat per lattice site)\n",
" c = c / (N ** 2)\n",
" return m, c, T\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Onsager's analytical solution\n",
"\n",
"Now that we have implemented our simulation with sufficient computational speed, we can finally start to run full simulations and compare with theoretical results. As mentioned in the introduction, Lars Onsager found the analytical solution for the magnetization and the specific heat. This requires an $N \\times \\infty$ lattice, but by using a large $N$, our simulation will produce results comparable to the ones of Lars Onsager. Onsager's solution also requires periodic boundary conditions, which endows our lattice with the topology of a torus, and that the magnetic field $B = 0$. Derivations of the following equations are found in [[1]](#rsc), [[2]](#rsc) and [[3]](#rsc), but for simplicity the results will be stated without proof. \n",
"\n",
"The magnetization takes the form \n",
"\n",
"\\begin{equation}\n",
"m = \\left\\{\n",
" \\begin{array}{lr}\n",
" 0 & : T > T_c\\\\\n",
" \\big\\{1- \\big[ \\mathrm{sinh}(2 \\beta J) \\big]^{-4} \\big\\}^\\frac{1}{8} & : T < T_c\n",
" \\end{array}\n",
"\\right.\n",
"\\label{magnetization}\n",
"\\end{equation}\n",
"\n",
"We have assumed here that $J=J'$. This is the spontaneous magnetization that arises, without being induced by an external field.\n",
"The expression for the specific heat is more complicated and can be expressed more eleganty by introducing\n",
"\n",
"\\begin{equation}\n",
"\\kappa \\equiv \\frac{2 \\mathrm{sinh}(2 \\beta J)}{\\mathrm{cosh}^2(2 \\beta J) }, \\quad \\kappa ' \\equiv 2 \\mathrm{tanh}^2(2 \\beta J) - 1. \n",
"\\label{kappas}\n",
"\\end{equation}\n",
"\n",
"We also need the expressions for the complete elliptic integrals of the first and second kind, denoted as $K_1(\\kappa)$ and $E_1(\\kappa)$ respectively. They are tabulated functions given by\n",
"\n",
"\\begin{equation}\n",
" K_1(\\kappa) \\equiv \\int_0^{\\frac{\\pi}{2}} \\frac{d\\phi}{\\sqrt{1- \\kappa^2 \\sin^2{\\phi}}}, \\quad E_1(\\kappa) \\equiv \\int_0^{\\frac{\\pi}{2}} d\\phi\\sqrt{1- \\kappa^2 \\sin^2{\\phi}}.\n",
"\\label{eliptic_integrals}\n",
"\\end{equation}\n",
"\n",
"Now we can finally express the specific heat as \n",
"\n",
"\\begin{equation}\n",
"\\frac{C_B}{N² k_B} = \\frac{2}{\\pi} (\\beta J \\mathrm{coth}(2 \\beta J) ^2 \\Big\\{ 2 K_1(\\kappa) - 2 E_1(\\kappa) - (1-\\kappa') \\big[\\frac{\\pi}{2} + \\kappa' K_1(\\kappa) \\big] \\Big\\}.\n",
"\\label{C_B}\n",
"\\end{equation}\n",
"\n",
"This equation has a singularity at $\\kappa' = 0$, which corresponds to a critical temperature $T_c$. Solving $\\kappa' = 0$ for T yields the following critical temperature\n",
"\\begin{equation}\n",
"T_c = \\frac{2J}{\\ln({1 + \\sqrt{2})}} \\simeq 2.269 J. \n",
"\\label{T_c}\n",
"\\end{equation}\n",
"\n",
"All thermodynamic functions have a singularity in some form at $T_c$. This behavior indicate that we have a phase transition. Above $T_c$ the system is in the paramagnetic phase where the average magnetization is zero. Below $T_c$ the system is in the ferromagnetic phase where it develops a spontaneous magnetization. For $T$ near $T_c$, the specific heat approaches infinity logarithmically as $|T-T_c| \\rightarrow 0$.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now remember, Onsager's solution is only valid for an infinite lattice, thus we expect that the larger lattices will approximate his solutions best. Let us start by using a small, medium, and large lattice."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/niels/anaconda3/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:21: RuntimeWarning: invalid value encountered in power\n"
]
},
{
"data": {
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"text/plain": [
""
]
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RAJDm+xzRO+e0TJ5bAOdWrO+bgZd1uKynUX/8nUPsT+WyXAC8tM38FgbeVkyTbqvbEI0V5TL/LrcdEY18LwO+QRwzN+3wd7202C9q28njjJ2/a59nEUFv7eTX8/NUq327D/vVWsBJpeUwlzg3lbelG4G3tJnfIsDuxX7ydLofAa8H/l6xfX87t323Mc+3EPWYWl6PFsvdgf8A+xTp0nlu1qdluivwl2S7ejT5rWcB67SZ3wzg46XlVj5mLEwcMx7O/L67gV06LPsrgfMZq5s8VWzT5Xx/T5v7fpHnzLRsFemOzvyG3HBuxfTrNZnmE0WarRirv7YzHN7kd60CHAhcAny9w+W8LHBEqSzP0lgH/QvwhlFYdz3YZ2YAhxMBFvPOo8Qx/3PUn9ufo1QnzeS1UbF/PUXUudNlcDfwWWDBNss2Hfhiso+Vz4kPAUcBnwROS6ZdqcX2NTMzv6+1mKbyt5fymJVMM6si3Rc72BfqjuWlPKYQ58F7SukeZOw8+ARx/bM/EaDTi+3llg7L3XJ/LvLt2bVFku9UIsC6Vv+YXfpug9L8asO1wEJdLBddW3S3Pe1EPExWm+dj1NcNzwHeTdSFFmux/ewF/Lr4PbeUvluWuK5Of1/tWP19YOkOy93TY12Sd6/ry23V3zvcftvat4tl/75iOzuzw+WwKHF8q12n5I4J1wDv6vU2SpwXs8fgYnl+gLFr4nS4mDbv7SW/9fNEYGvtPlX53PtMsb29oMN8x10npod1Nw0aNGjQoEFDZ8PQC6BBgwYNGjRo0NDJUNw0uSdzs6DtwJs+lGlBonG/dkPpOGC90vdrA1+mvhH+HuA1TfKcARxCNE5lb/oSN/hua+NGymGlfBcDTm5jmluB5SqW/+bE60dvyEw3k3gi/ZdtzGMusF8by3d9xm6wzyVuiK5QfDeNuDH/31K+V+XKXlpXOwE/ZqyRue6GE3EDeC75Mi9TWg5bEQF1dyVpsvMulWFFxoLt/lWUf+Hiu0WAPagPSvh2m/vF5xhrtD+dCPiz4vtVicDE8g3gR2jeELcjcAL5gJa9izT7MhYYVzVcByzax/1vG8YaHm8B3lxangsRNy+vTsr0Y6LHv1x+qxDBhrXhU5nf9KkkTW1YvMvfsF4pj4uTeV2cmc8rM3nMSqarHSd2pLFhITd8ts2yLgB8l7FAopeUvluTOBaW8z2v2+WSmfcWwNeJwJDsDWNi/84F2ZaHO4FVK/bNQ4hXaeSmm5GZ5rXAJ4iePXL7wsyK+XwQuJDGwLfZRZq1qW/Uqhq+X8p3GhGIUXX8qg0P0n4AyzpEA8kzwGeA5UvbwfbFd7V8nwY+XJHPFCLI4cTM9ljbVreh8bhcGzYt5fVC4EtEgFw5TVtBQcRx4RvFNPcDHytvD8Cm1Ae2PQbs2SLPnp2n2t23ez0A72es4f8momeTBYvvliMCDsoNZ5+vyGdB4J3EfpQG1jtRv5lGHEdabd8nd1D+xYnAfif2xU8DqyfrtbZvn5WZV0+Dyojg8fJ8flpsJ7Xz8mbUB/c/AGxekdcM4H+ByzPlrh0z1iGCD5otz2eAV7dR9lq9tjbdBUSdc0rx/XpEA3Pt+yeBndpcLjPTclWk24AIznks8zucODf+P2DniumXIoLvfpdMdxqwcZHmpYydV/+VpDubxnPvZsk8ao3TF1J/3P1WB9vJLkQvgA78kDjPLVB8tzQRIF0u1ylEz7oTdt11ub8sTdQpL6QxSGVmkeZbFdvC3yryPKzY5q8izj+1fW9lIoivPJ8ryNQLkvwWZayOdicROLBY8d004oGdK0t5npNMvzBxvjmZfND7zMw8tybqJSeQr8vt3caynZVMM6si3dvprN67eDL9AsAZRfqHiOCfpYrvphA9ylxYyvMfPdp23paUq519uWF/TvLs6bVFMd3mRB02va6qHcPXY+xYkA67drFcdG3R+TI7qDSPb1EKkiLOsccm5Vg+mX4xYM9iW0gf6rqlSLMt9fXBquE2oifSdsrd02NdKd+e1pfpsP5Oj/btYr28rUj/dHn6DraNl5fK/UviGmha8d0iNAbC/5YOAwNbzH9GZhuZQZxXzsh8lw7Za9+KeW1JXGs/Sjz4tEQxfjpx7Lu1lO8jwB5t5NnLOvG46m4aNGjQoEGDhu6HoRdAgwYNGjRo0KChk4FoZMrdKGmr14w+lGcp4kn/Wjne3STtVtTfgH0G2Lci7YnFTZG/ZX7rLGC74kbPXOCPxM3EfYiGh/RG3dPEDdkVicaOZ4heQw4hGn4/RuPNZgeOyZRr+6JMVcFsOzH29OH1xA3iLxHd0+eexn0O2K3JMluV+qCtqp7XNqC+N5hfZNKsTTQA/J78jfDDixtaTxKBErkbvmsRDbu3VPx+p3VQWa0x73FgtYo0y5fW4/db5LcgcWOu6TIq0q5LYy9An65Ie1CxTeV6YtobOLT4/yYioG1vogE316h9RJ/2vzeX1vvVFI1XFcvolKRMl7ZaV8W0MzK/Z0YfjymzknnN6nY64jjxJBGocwpxY3gf4DvJ/lI7Hq3XYh5TiX3ZiRvDC1Sk+0GS99kUDdrjXDbvK8r/vcw6OZw4nj1LHDOOJnoS+Aj1T0TXhlNazOuYTtd7Mf90mpmZdJ8jei7IlWs28dqSWqPj5cST4vsCHyJ/TtiaaDD5LXFM/R0R6PauYprfZKY5o43lvS7xhLpT0WBAvBYobSB9c5JmUcaOvbmg8FnEfnYf0fNDLmB5+2L9NwuaadloQPTueWmR/m/AShXp3prk/SywfUXanp2nenlM6HDfek8p/7nEa1hz6T6XlKWhoZs4f/0PEaSW217XIY4JTjQgfbzYVj9PvueBHdoo/yLAH4r0j1LREFWk/XS3208Hy3MqsS/X8r6QfG97ixCvjqqlu41ML3ZEj277EkFU6bF7NtFQey9jvYV8gOgt9rTM77yJFj3AUX++/CeZXnKIIJFy/fdh2uilhA4Dk4ieUtNA2YeoOP9kpjfGAo1/0iTd7GQehzdJuzHRW83T6W8phraCyoj6pBf5vLHJtp0GSlceAybSuutgf3kLEehwEfUP4NSGmcS5bC5x3kyvJ27L5PmV4rtLqHiwgcZjweU0Dwr6RintSyrSLMLYOeaCJnl9OPc729gX0mn2bmP5zmp3+ynSz8jMZ0Yb8/lYKX02CIoIHqoFFtzUi+0nM4/ZSdkr9+WK6Xt+bUFcq/+B/PXzbOJ+wg3Etec1mTTZ+wUd/KaOtoFm0zHJri1K+W/GWPDVN5qkO6RUhucl332jWH+53kJvIfbhx4k65XlE4PTXgT9l0jtxvm7aAzp9ONYV0/SsvkwP6u/d7NtEz9WnkX/AwWkzqIyoo9YCgfevSGPEva9y/hfQox7LyB+X12ast/h/EA//7EMci6/KpG967VvM5+XF9vsksHVFmnWpf5DqKWCbFvt4ed1dmFsutFknHs82oUGDBg0aNGgY3zD0AmjQoEGDBg0aNHQyEE9R524KZRt7+1wWY6xh1IHj25hmO+qfFn0W2K5J+rThp3aD+1EikKihy3miQfeOZJoTiptN15J59VvxW9IezOYAU5uUbf/Meri9uAHU0HME0QtBrgege6i4YUq8/qGcdtsm5UkbT1+cLsvS/+vR2BPCMcQN/fcVaRaj/snP64nGkFcSwQEvJn8TuDJQibj5V0v36xbbyquLdP/XIt13Snn+to1tcAMab66+q0n6aTQG4f2RaNz7dLqNEE+x/jlJf3ezbanL/W8rxhp0n6QiCKKUfirxKqhyuc6nRYMEoxtU9gfiKd/fAitn0m9LY08ZR7WYRy2g5D5g2SbpVs3k/fEeL6e0ceKiYp7fIWkoIY6jP03SP93iN7ys0/VO9OaUTjOzxTRpg+SNxf5yAZnXwRBPpKeBOmcSN9X/C7y8Yj5HJNPMpehJqyL9wozd2P9Bi9/wiSTvx6nv3cEYexJ9eRob204hGsM+W6SdRrz6sPb9fcQT7lsRr/fZmLEeqcpD00Yp4th0USnPbANZKW3aQ9KfK9L27DzVy2NCB/vS4tQHrdzcJO2S1Ad9XN0i7y0y6+mPRP3iTZn0M2jsqeVnbfyGcvDzW9tIf06n20+HyzQNMP10k7QfTNIe2CLvtIe3fxFBjX+k1DNbKf2HMr+18jWKNAau/KBJ2tclaVu+9pEuApMYCzgoH7/a6gGEeKDCiTpfs9cpzU7mcXiTtDOKbXsdIngvrU+2DCqjPqjoPS3S5gKpG37LRFx3ba6jcv38/ZnfehBxXbNFkWZt6usAJyb57VuMf4omr+YiznMPJPP6TkXaRRlrRL+uxe/ZgKiPXNwkzcqZ3zmzjWWV9n60dxvTzEqmmdUi/YxM2Wa0MZ9awNSjNKlbE3Wlh4E7e7H9ZPJve1/OTNuXawvGegpchKjnldPPJuo032Osd9BPMXZceYo2e6zq1TbQZLpJe21BfX18ixZpa3XJ7CsFiWPLH5KyPkxcT5+V25+KbS/3QNv3mpSj58e6In1P68uMs/5eymd2Ml3TfZt48GVr4ly9G433P1oGlRG9idb2xaYPyRGB/+lv27FH2+eMTN5nFcv+nZn0U4Fzk/RPUREkW1petTr4p1uUJ+217y4qeg+kv3XijrYJDRo0aNCgQcP4himIiIiIjJY1K8Y/ONBShI8RvUdA3OT8f60mcPcLiCdtaxYA/s/MlqlI/xzRo03ZJsQTtHu4+78z09xLvJax7D3EDcVXuPt1mWmc6FnES6OXIrq/r/LjzLjHiaf3f5GZxxyiy/xzk6+WJ4IScl6XfF6tSXkuST7vkMz/udL/1xMNsWUfIAIDjy/SPOruuwJvItb1THef6+4Xuvu17n4l8IUm5cnZtvT/I80SuvtvgMuI9ZZlZrsV5a6pWo7lfK8lXmNW9l0ze0FF+meIYLuylxI9F33G3Z9N0j9FPMVdtgLRk0pPmNkSRHDGtGLU8e5+Y7NpinLuR9xQrdke+GSvyjXBbEO8nuO17n5n+qW7/54ItCrbsSozM3sxY9vXse5+f1Vad/8vEeBQ9kkzW6SdgrcpPY5tSdx4/qC7P56U5zngQOqPb9OIBvIqd3dRpspl0sTZyefnEz2L7ejuV6SJ3f0JGvffXYjzwkx3/3PFfI4gGrNqpgCvalKuI4hGGM/ML/V/yeeFiZ4Ma2X24hxTOz9dlKTfDbjc3Q8rkj7j7vsT++chwJbu/pC7X+Tu17j732njfJvxeSJYEOB/3P2uqoTFcex3yeiqY1jPzlND8nIiWKxmZTPL3ity94eIAOuaTcxs+SZ5X5sZtwbwMnf/eSb/W4gA77IdzcyqZmBm7yL2AYBL3f1HTcpTc1Qbacajn9tEukxfQGyr27n7bZn036KxvtNs35+I2/ORyecpxKus2rFH8ff37p4uh664+y3ufom7/8vdTyDqam0zsxcRvcsA/MndT2wxyTmZcZtkxk3EdddSuX5ONJKnDgd2d/dLivQ3EL0KvZ8I6vtgLaGZrcbYMeSnueuk0nyfyMzvvWb2vEzyLYngCWhdf7+WeIimsv5Od3UMiMCQCcfM1mJse3s8Wad13P0+4DiaL5+B6+e1RW15FPXT85JstiC2rfe4+9NFus8Tr8v8OFEHuqmb39QHk/naou1rdKI+CRXbcMWxZXEi0HeXoq6TTnMR8eBaOu99zGyjNH0fj3XQ4/pyD+rvXXH3e9z9T8W5+mc0XnM1ZWarAicRD7zcSARANpM7V/fs/kfGNsS130npF8Wx6SPJ6AWp385T3yVe6/0Y0YNeM+m134rAARVpR7JuIiIiIo0UVCYiIiKjpqrx8qGK8X1hZotSf8P4fHdvt4HgUKKnj5oVaLzpU3Zv8vlOdz80m7JUnsy4Dxc38rPc/Q6iN7OyDZvMY05m3Kfd/Z4m83DiacXHkq/2MbMFM5OkN2tXblKetKFllSZpIZ7ELLuJeGVeHXc/092/WnFD9T8t5pFaofT/lma2QIv0s6i4YV00spdvbl6fC0KpcBT129XCxGuYqjyafP6au5/RJP3FNAZ6NtwQH4f9iSfWa05tZ6KiIfL4ZPQhZrZkLv2I+wOwj7vPbZImDf5cvyqYhHjF7tTi/9PamP/vk89LAW9oY7p2pdvkae6eBtPO4+63Ez18latsKLUAACAASURBVDXbJisbRJvMw1unapAe3wHe22K95Y7vh7VoUHqSxsa47PG9CBKqNQxc1SoQw93/Q+OxcC8zm55LT+Ox9zEaA1Fx9wvc/ehiv011dOw1s3WBjxYf7yd6pGgl3Z6qAvb6eZ4ahLT804nXHlXp5Dek+ylEb6DXZ8bX/Cr5vDiQbfg0s8WBr5ZGfbdJvmWXt5muW/3cJtJleifwjiIAvEFxXEofTmh27Jtw23NRt0mPe/s3CzYseXPx9+TelqpOp3XBbzJ2Pm3VcAvREH5z6fOTxOsiUxNu3XUhd51yShFwMY+7P+7ux7v7ibVAnMJBwBLF/93UVaYSr+NMlevvG5rZUi3ynUWToKlmQVctdFPPGITy8lnezNZpkX4WEyyojMFdW6Tb+FRgv7QO6e6XufuXPR5imigm87VFeRveukXac4nA0GbbcHqf5BEiSLBSUd9OHxAzIng21ZdjXZ/ry9D5+bKXOp33lxhbxscWAXSVirpK+bc7cU+kX/Zw9782Kc8/aXyoIFv/M7MXEg9/QvR83+qB3b9QH0wLcY8vZzLUTURERAQFlYmIiMjoqXoatZ2GpV56N/EkX03a80qlIvgs7a3rQxVBVRCv+Sl7OpuqXq4RPte4m0qfhJ5RlbCiQaThqeXMdPcSXeaXLUf+Bm75JukT5J8AnZd18nmxFkV5Nvl8TheNPE1vLmaUgx9XZ+ymbZVfUn3Deidg/dLnTrbBp2jsae6tZlZ1ky9dtk+2yN9p3JaWa7d8zZjZVOqX21N0FiAwK/m8JPC+cRZrIrq5je35n8nn6YzdPJ/HzFZnrNHmAXdPg7Nycg3e27UxXbs62iYLaY8TPdkmx6mhYa6NRot7idfolPXy+P5e4ml2iNeKtCNd30sCm1akTY+9F7h7GmjcSqfH3oOInkEBftVqGQO4+3nEK7fPJgKXcoEG0N/z1CDMJl5DPe9zswB0OvgNFYGWrfbVXM8wVfvq3sSrtWvlaugltaJc7ewv45E28KY9t5R1uk2k6Z9u41jfybHv9GQelWXPrN9+bs9p73LrAa9tNkHRC8tWxH7ZbB2MV9vHIzPbirH67jO00XNKETT1aiLI5afA9hU9F03Uddc2T3q/LfyynWmLHov2Lo1Kgyhy2q2rlOvvi9C6x5rfMXEDwPohfbjr6GZBn+7+D+D2Nh6uGYgBX1uk2/iVxYMPo2AyX1uUt+FDq3qRByiC6n5F9X0paHw45YEkALbKicTrfsveVP7Q52NdP+vL0Hn9vZc6OVevTv3vaPYwXdnuwAnEa9l38eoepHuhaU+KhXR/rHpAd//S/7NbZVpsF2nPuetV3EvqZ51YREREBmhq6yQiIiIiE0rVk7ELDbQUY6+9rElv2LRyGvVP1i5NvP4i7UmmW2nAQbfTLT7eglT4EXHTsmxz4IJk3AeBq4hu8k/xzKs7m+i0rvt46yTjdmHy+Ugze47o+auh8cndbwVeUZFXL7bBD5U+TyVeMdCr3jzSRvtFe5TvZtQ/TX5TRSNklrtfYWY3AmuVRr8G+HKPyjdKcj08Lk5jL3M7M9bAcHPxypVWcsegqiCjQenXNjkMD5NppGtjmrKq43u58equNtd3rifHTWnvCf2+HnuLgO09SqMqn+pPufuptO6tZJDnqZ5z9zlmtiURTJgL+m6l178hF/BVta/uV/r/P+4+IV4N5+6nmtkjxKuJfufu6YMEzfRjm2j72OfufzSzmUQd9XJ3z73qvErftmd3P8/MrqD+PHIgjT3blb2ZeOjkTHdv9TqzQSm/tvPvRS+SLRU9Ub69RZoJue56oN1zxCuJnosgehFavOjNsJknMuNydZWLiICEWg+cB5jZE8Cncr0EFut1vbZKPTlcTzxYVAsoeANwspm9vypo3N3Xyo0fkmFeWwzi+nOQRvXa4kJgz+L/NYDzzWw3d785l9jd392j+ab5Pm1mP6P+Gn11M1up1Gt6X451A6gvj5I3M7Z9PlARyN2gWEcT6WG1dH+s2k7eWPr/vjb3x9uBFyfjNiV5uGYC1olFRESkSzoxi4iIyKip6l1iYD3OFE8zp71qdfr6zcsy42bSo6Ayd5/b3luBGqRBe82ewO1acfP9Hupv4K+bSfcM8O1meZnZwsRToQekX423nL3m7teZ2VnALsWoBYBjgN3N7ANtPqVd88rkc6fb4JXEU9Tl3otn0rugsjRIrle9JI/3d0Psf+WGn63MbME2nyCfTHJBurleI7Yq/f8S4LYu55d9hd0A9WubHIZmrx5qd5qG43txPH1hadSRxdCNYa/vmpcw1vgG0QjSM5PhPFU0mjZ9rbaZrQnsQ/32AT3+De7umfpLw75qZqsAG5RGVb7+dRjc/Rc06Tmt6MVnB+D96Vf9KE7yuemxz93/QLzmrFIRiNiXRvUmjqK+l9UdzGyTJnWnWi8jJ/W3WB3ZofR/z3snmsDrbhDKdZUV6b6uspyZLezu84Iw3P1BMzsW+Egp3SHA64v6e9NlPtm5+3NmdhT1ryN+G/AKM/uIu/98SEVrl64temdUry2OAnZjrKwvBq4xs88BX6l6xXSfnEt9UBnEfZJaUFm/jnV9rS+PmL6eqwco3R8b9kUzewH1PZiNJzgwuz9OsDqxiIiIdElBZSIiIjJq0tcB1FS9tq8fVqKxl4dOX3HyL+LJ5HKj/oxxlKlf+hl08Q/qg8qWrkqYY2brAx8A3gHcR/6VnxPRfsQT8auWxm0FXG5m3wQ+3WaPGs9PPne0Dbr7Y2b2b+qD+WZ0kseQpD0bdPN6oauAvUqfF2J8N+Unu3IQyfnA17vMp9PXy0p/5Y7vGwLTSp8/QRyru3Frl9P1WvoU/cB6LBrh8xQAxavJ3kD8hu2I/X8O9Y2OwzLe4P6hMLPlgX2JniyWBH493BK1r+gJ5Z1EPWZNGl9p1G+nE6/xLdd/PkomQMrM1gNeRDTCnzeQ0rVgZosC65RGDfJYNOx1NwjlusrfgE+NI69c3fJQIvhok9K4DYDfm9lJwCHufk9muvnFN4hX0r6qNG514Awz+xVwQFWvTxOAri0Gb0JdW7j75WZ2OPWvtl0E+CLwTjP7oLvP7sW82nBNZlz5Pkm/jnVDqy9PQOVlMdmXQ/qwyLuJnou7cX0niUe5TiwiIjI/UlCZiIiIjJqqnigG+YqRXK9oHb0msnii+26iYadZvpPZDdQ/Gd5Wr2hmtgPRO8COwG+B3dz9AjPbm3jVyITm7neZWa3s5VcLTCVe5bSnmR3o7j+tysPMlqKxLt/Nq0rvoD6obBS2wbSM3f7uXL5q+MkrL/NH3P3soZVE+i3dv66bBOt7zeTzwv2e4aifp4rgl/cRvfIsAxwH7Ovut5vZbBqX6TC8IPnc1msEh6UIcjqYeIXhDcDhwE+IhyLeVj3l8BWvQfoY0fA3BzgamOXuj5rZPoMqR9EL71eo7xnwrWb2SXe/O0le66XsVHfvpmfHfpiRfB7EsWhCrLsBKZ+/5vb63OXuj5vZa4ggxQ2Tr98JvMHMDgWOd/f5Loi+uLbdDTgb2Db5+nXAP8zsC8BRE7D3Ll1bDN6Eu7Zw9yOKa+yDkq/WBy40s1OAgzPnm16X41YzexpYsDS6fJ+kX8e6gdeXJ6KiDlzuuWuyL4f0+Hd5h73nd2yU68QiIiLzs1F+3YeIiIjMny6tGL/pAMuQ9lIG3d18fjj5vFAXeYyy9KnPpr2MmNnWZnYR0ZizPPByd3+Nu1/QrwL2i7tfB2xB/hVFqwKnmdkvzayqB775eRtMf3svfjeMxm8flvLT8YPsFVIGL+0xcjKs7yWTz8v0a0ajfp4yswXN7EDgFiL45NfADHc/xN0n2ut/lk0+LzaUUrRgZjPM7FSix7+diGC9jd39JHd/arila87Mli96UL2RCEo6HFjb3b/l7lWvo++3H1Dfg8Z04IOZdG8u/vbqld69MMhj0URcd/3W97qKu99J9C78s4r5fxf4o5mtm/l+0iu2rVcB38l8vTDRC9RVZrbFQAvWmq4tBm9CXlu4+8HEefqJzNdvB64zs3cOoCjpcbp8n6Rfy25g56gJbn5bDgO79hvlOrGIiIgoqExERERGjLvfRf5VXNuY2aB6YZ2TGdfNzZc0qOr+LvIYZY8nnx/IJTKzaWb2beCPwMuIHio2d/eL+1y+vnL3O4ie2j5KviFiJ6Lh5eWZ73LLan7ZBtP9b0Uz6/S6Jvcai1H47cNS7nFjxrAKIQOR9q4yYxiF6LONep3hZDhPmdkLgCuAY4hXoL7e3T/g7tlz8wSQNvpPhFdy1jGz9wDXAm8FLgI2KRrOunm12kCZ2U7AP4EDiF4kNnX3r7r7s8Msl7s/Qbxmr+wDZjYveMPMXkK8ZvJv7n71IMvXoZ4fi2DirrsBKJ+/VixvE73k7g+7++5EgMldmSRbAZeZ2Zv6Mf+Jzt2fdvf9iV45c698Xp8IvMsFgw6Lri0Gb8JeW7j7CcTrD3+X+Xpp4IdmNsvMpmW+75Vm90kGcqyjT+eoEfS84hXSk9VArv1GuU4sIiIiQUFlIiIiMop+khm3BLDDgOZ/b2bcJl3kk3aln8t3Mktfd9nwalMzW5h4dVit4eF77n7AZGkYc/fn3P3rROPnCUD6iqYVgN8WDaTl6Z6g8Wbz/LINpmVciMbXoLWSe43FKPz2YXmw9P9KZpY+0SyTx4PJ5/WHUoreShuLc4G6XZsM5ykz2wq4hHil21xgF3c/d7ilaintxWOQr0FvycyOJM7rCwNXA69x93uGW6r2mNn+wFlE4/l/ge3d/cbhlqrOt6lf/8sTAT41tVdfnjSwErUnPRYtZ2br9HIGI7Du+ql8/jL6fExw91OJV8gfSePrdxcDfmpmr+9nGSYyd/8NEZTyPzT2Rj0N+LaZfWDgBcvTtcXgTehrC3f/p7vvAOxKPjjyXfS3J8z0Pkm5DP061vW1vjxC0ocpphAPjExWfb/2G+U6sYiIiIxRUJmIiIiMohOBpzPj9x3EzN39XuCOZHQ3AT3pE4+Xd1eikZX2KvLnTJpjgZnF/w8CH+tngYbF3e929/cBLwJ+n3y9CNFzTCrtfWMjM7MOZz2K22Cu15FO97/0d9/s7rkeCCWkN31fOZRSyCCk63rrPvfEMAh3J5+3LHrl6kjRG1nayAcjfp4qXrP8M8Zef3OSu6fnoYkobfRbycxWGkpJEma2D/Dx0qgPu/tjwypPJ8xsB6InsNr9wkOLXoInjOJ8fWIy+qMART1oTyI48tQBF62V9FgE0NVr1MysoWe+UVh3fZaev7br9wyLXss+QQR1nJF8vQDwDTNboN/lmKjc/Sl3PwpYGzgeSHuk+ZKZpa+aGwZdWwzeSFxbuPvPgQ2Iul16Ht/LzHpe7qKXvCVKo/5V3H+q6dexrt/15ZHg7k/S2PNgz87VE1Bfz52jXCcWERGRegoqExERkZHj7ncSN6ZTu5rZhgMqxuzk8/pmtkq7Exc3C9dokedkV36q9mGSgCYzexn1N/DOdffcayJHhpkdbGb/W/W9u19D3FT/XPLVKzI3dS9MPi8GbNlhkZ7fIs+JKFfGTnspHMXfPUxpsOG7usnEzNY1s1njL4700TXAU6XPyxKv4u2YmR0yQV7/dWny2YBDusjns0SPK2MZTY7z1OFAORgr1xvsRHRtZtwuAy9FomhI/Upp1F3u/odhlacL32TsXuGzRMDhRHQM8Ezp84Zm9mpga2B14LyJFlBVvEo27TXsvZ02OpvZJsDFmQcJRmXd9Uuv6irLmdmZ5dcfmtnuZpYGMs7j7v9x992A91MfOPV8BhDcNmxmtpmZnV/1vbvf5+7vB95AfR1jCSIIdNh0bTF4E+rawszuNrMFc9+5+zPu/lXi4a//JF+/Z7zzzlgLmFr6nG5L/TrW9a2+PILSZbG7maX7eFPFvcGrRuDVmen2tLGZvbibjMzsK8W1Ue3zqNeJRUREpERBZSIiIjKqDqPxacopwLHlRoDxsvBhM1si+eqnaVJg9w6yfgEwvfT5Yne/tZsyjqKi55uNS6NmuXva+1za89wtrbIdb7kGZPtmX3o4jMYeD9ZOPqfbIMAe7RaiuMm3ZmnUrcDF7U4/LO7+bxp7FNi1w54gNko+T+QgionQw8VFyeedzOylnWRQNNScTOv9eCJreoyZBD164e7PAJclow/rtKcVM9ucCI79W6/KNg5/pfF1we8xs23bzcDMdiFeb/mt5KuRPk+Z2XTgbcnoW1pN1p/SdCzXu+m7B16KRrsy1usbjM7yxMy2pj7g/75mvUl00Ttqz7j7bcD/JaMPZOzVl+N9LVm/zr1pL4ArUN/g2pSZLUMEi33d3b00fmTWXR+ldZVNzGzXLvI5EXjQ3Z9LxjetvwO4+/HAV5PRaf29SjvrZFj1jHb2h63MbKFmCdz9HBqDVNpdPn2ja4uhmGjXFovS4hWH7n4DEbxeDhztx/a7afL5uORzv451/awvj5r0XD0dOK7d+4xF/fp04MfunvZ6NqEU9yD/m4z+TKf5FA8SvRf4R2n0oOvEE+HYJiIiMmkpqExERERGUvE6ibcD6Q3/rYEv92IeZrYw8GPg6zS+kuEs4PpkXCdPib4m+XxkZ6Ubedsx9pqQueRvPKY355drkeeKyeep2VS9lbvx1epm2DZtvqLru8nnuqdc3f0q4LwkzV7FTcx27Ej9jbdj3P3ZNqcdtqOSz8sBr2tnwqKBaMfSqCvd/bdNJsndnOzndVQaXDkRXgv0M+DJ0ucpwHc6DKL6NtHg/Z1eFqyPnsqMW7nFNDP6UI5hSF8Z9yLgw+1OXBzfTgfOcve0V55eafvY6+5P0fibDDjDzDbOTFKfMF5t9CPgqOT1QzAa56lm1iQaUstG4jcUvVD9KRm9eTu941Ucu3rVEDXK20Ra9qVbNKCmZcfMBln+o6hv3H81cW3wCPDzDvMaz7k3PfY0qwd+LzPu3Wb2qZYziQdcziF6aEvzGbV11w+zgTuScV/r5PWKxXrYCTg68/WMNoNemtbfS9Jtrmkdo3gYZPk25j9eabmgvf1hYaInslZOIHrSq+l1Lz7psbzdOvsgry0GTdcW7WnZa567X019UFc/eqF6Y+n/P7r7lcn3s+nDsa7P9eVyfu2My+l2366aT7P5/pC4R1W2A/EAa6uHjBYkgkrXZnTu8aXr/Q2d9DZtZusDs4DvJj0297tOPBGPbSIiIpOWgspERERkZLn7+cSTkKmPmdl3O+1ZpczM1iZ6wdiTuDF2VjJvBz6eTLapmbXbW9k7Sv9fCPyiSdqOn0qvaEhq+vR4IX3tQ6dPC7Zbv9yv9P9XiifEU0snnysbcoob0Hslo5dpUYZ0+8i+8qKFRTLj0gb63Hzf10betyWf/5VJ80nqX/+0CvChNvKG+le2XUf+lbI13exL7Wxv3foJja+l+HybTw+/jnilH0RQ6sEt0i+WGdfP11g8lHxeL5co0/ibHifaaRzObfMN67oI4k17hNkM+GE7y9zMjiReD/NZd7+njXK1o9/b5H3U71sAu1UlLhoY0tfWQn77Keu215H09/fy+H4qjdvhUWbWsrHYzFYkgl2Xo/qVOcM49n6NxsahZYCLzGz/3CuPzGxBMzsYOBe4nXzAer/PU9C4bnv5FH5afmj+G14KrJuMrvwN3dTDWvV0k/hGZtxxZjajxXRvz4xbtYP5NpMu0xlm1iwQJC1Lbp2U9fPYl857OrBJk/S55dhqm24oS7f1dXf/B/CrZPTiwOnu/kSH2bV77s2VNT0eVR6L3P0i8r3CHmFmPzGz1SrmuzVR79kS+GDRq2TZSK27KhX5tXWOKB6MSHv0WR04q53jipntDxwBHFu8jj7nA20UpZ36O8CdyefKOkbh0zTWGVrVMaDzc0i6L0Bmf6gIQmy5fNz9SaKOVVO1fLqVLpN26+yDurboRR2oU7q2aM9bM73T55T38Xa333Z7uFqJsVd5PwMckKbp87GuX/Xlmm7undR0u29XzbvZufpW4LTMV+8Fzjezqn1oY6KXs12AQ4rtvBdy14vd7I9Vx//jqQ/2BTipnUBqM1uHuPZ7nNiuyvpdJx5P3U1EREQ6pKAyERERGWnufhzwfhpvfu0H/NbM0qfjmipuih1IvALjxUTA0/9UzPuXwDeT0V80s6Y3xsxsN+Alxcd7gbeVX2GTkTZ0Ltws/0LuBsyMNqZbJfm8VBvTlLV8NYyZbcPYE7jXEo0kOekTuC80s4ZgLDNbnGgI2DD56qW1m+PxFlNLG8vSJyG7eX3FGm2OSx3YRm9lG5T+v77omayOu18OfCIZfWirvM1sM6D29OmTwF4tGmDT7aCd3tDSMuRuInfF3ecCb6b+RuLGxI3eSsX2UH6dwxfc/YIWs1srMy4NquilNMDyBcWrBOcxs48Axybp0kaQZWkt14Bc9YTvJ4EHknFvAX5vZhtk0mNmM8zsTCIAdzbRUNErfd0miwb7tHHxQ2bWcIwr9rcziON6+vqkrVuUqSGQpegls5X0989oY5q2ju/FE+ZpQNhU4Odm9vnimFunOMa+gXh1zkbAAU1e6TzwY6+7Xwt8MfPVYkRPmXeb2WlmdrSZfdHMfkI0+H+ZCL57R+YVzdD/8xTE67LL2unpsl1p+SHOIQ2BLcVx6Ewagy23KqVJjzu5bazVvpr7fVX76unA75JxywOzzWzL3ARmthONdTeAT5rZNmb2vE56+8hIl+lU4Ji0QcvMppjZoTSetxYxsxeV0rVapr089uW2h2NyjdRmtg/wWRp7DG62PUDj9pwrXydyjdcndZFPeu7d1sxWr30o1tdXgEMz06bHnlb1wPeS7w1zT+A/ZjbbzL5jZkeY2bFm9jfgj0Td4+vuPjsz7Siuu5yGHtTo7BzxZeCGZNy2wGVmtlUmPWa2gpmdQJwLrqOxXl32jjauLct1ogeAqh6r0p4WdzWzd6aJzGxJMzuWeL1v+kq2VnUM6PAcUrw2NQ14q2voN7NVgMszAbyvNLNXN8vfzJZjrMe1p4n6U08UwUhrJqPbqrMP8Noi3cbXMuv762h1bdGepYoytVIuWxoYV2XVqkCkxBGM3ev5nLtXvUa+L8e6PtaXa7q6dzKefbvJfFrN90DqA2BrtgOuM7NLzey44lz9LTO7BPgbEfx9prv/sMPyNZMLduxmf8zui0XP0mlvjYsR++JHLdMTvpktYGbvAv5C9LT5zsyrPvtdJx5P3U1EREQ65e4aNGjQoEGDBg0jPxCvp7yNeA1OeZgLnALsDCzaZPp1gP8Bbi6mexTYp435TiNekVme5xnAgk3mc3+R7m5g0zby/3vmd23YYrpdMtP8AVigyTTPJwKMytPcDyzTZJrc8t6vSfoZwH+LtDcBqzVJ+/FM/k68LuMA4mn4bwEPEjdGd8qkPa1I+wdg72R7SdM+CqzV4XY3K5PPsU3SH1xK93tgsYp0CwNXlJbp9k3yNOArSRkuApaoSL8icGPpN7+6xW9cNLNdnNFimlUzy+WXfdjvtynWf20eTwDbNFlO3yylPQ6Y0iJ/I4Io0t/y62b70jh/09qZ+d1JBPm8p5j3w8A6yXQ3JtPc0cbv+2BmXu9okn5nIqAkt19eWizTI4rl/Kdi23XiGLZ8D5eRAbcm87+ixTQLFcutPM3fW0zztszvfJYIWPgw0fB0erHd3UM8HT07Sf8McZz4KLBB5necm5nH61uU64WZaf4NLNxkmmWAuzK/Ze0m0/ykYl0/TrwC+qvAF4hXxNxc+v5LTfLcoJi+nN9zwMs63AYOz5TrV822eeJ8+puK31Q1PAfs2yTPvp2nivy3y6R/DFiph/vTtZl5zCEal95d/MZzimXxNaJ3sHLaJ4nj0+HAPUne22fy/nAX+91BTdKvTvSMkVt35xF1u3cSjYO1/S23/dSGp1uVsUX5N6/I99KiLPsCnyeO2Y8AM6k/jzlx/t8POBn4fpL/yZnfuVSLMp2XKc9ymXSrFr8/TXs98P+AfYgHAa4mjm17Fv+X095EnFu+A/w2yX9x8nXarpd3ke+Vpbz+A1gXeeyQKde/iN5fP0D0LnZ7utyIwPNnk+meAGa0mN/exbrr5Hh0HtXXFyO57jK/4/DMPK4EFupwH3ykYhn+g3h16OeJc9j5peV2GxXnRGD3Uh7XAitWpJsCnF1KW3ktCby8ooxnEnWGjxP7+0PEeXMb8tcdpwMHAVtk5tHVOYS4dk6nO63Ybj9DPBR1XCn9ZqV0d5LUUZO8v1tKe3iPt583Zcr9BB1c39HHawsiuP/OTBn36uVyyMxX1xatl9GjRb5zgTc2SbdXqXwXUnG+KfaV9PfcAKzfJO/3ldIeX5V3KX3Pj3VFvj2vL5fyPjwzbdP6ey/2beKBywcyeWzZYrpX0XgfpNVwNS3qZV1sn+/IzOcDLaaZQuPx5oYm6acTAey53zSHOAccDXyJCKas5f0c0YNq1TZatW/3ok7cVd1NgwYNGjRo0NDdMPQCaNCgQYMGDRo09GognuA7krhZnrt58RRxg202cQP+LOIVl/eU0swtblis0cF8pxTzLTcq/RV4LTCtSLNkcWNjTvH9ZTS/mbdPcYPlHxW/5W7g68BHgFWKadYlGk2/XZpPOlxFvKLtraV57Vv85jTgojbcVszrYySNOhU3cZzoOeQ1wPQi3eLEk4f3Fd9fQusGt8WJQIlWN+4uAFYgnny8uyLNf4iG50OL9V/VkPcwETDyP8BOmTItRNyk+iwRFFZVpj8TjXivTqY/OEl3LdFQtWhpW9qaeOLTiZvs725zOzyQuLlay/vfwB61dUYEqr2VseDLfwObt8hzUeKmdvr75hJPkjcEVhGvvTs7M80zxfx7GoxFBNj8szSfp4v1s1rxvRGNXb9g7Ab0J5vktwaxXx1JfUN1OlxPBFccRIsgoC5+06+azPfJ8nZFHFs+U5H2m8CymfyNCKzMBWLcUHxX1UiyK9XH2NxwNj28sU68xuPwinl9Yzkc1gAAIABJREFUjEyDO/Gk9feaTDO9Yl4G/LyN33gTRcAY+aCy2UTD3cqlZXg4Y/t57jh0XFG2dYtpVim2y2OIRr3cdDcU2+1+pd+wG3AC9ee58nA/0TPFwSSNc8QxNQ1gaTY8QSbAgDiWH0Rs11UNh08SjRWHUjo/Jfm8jziunk31Mfxq4hy3e0Ue04nA73Z+z6PA21tsj/04T61PHM9/3mR53Uns3wfWtpFx7FOvb7I8a8PTwKeK9Ds3SfeDUr6rE+f6NM3twGYVZdmIxkZsJ85blecrIrAnN11uOJ7Yt9Px1xL7wQo9OE5VBWSmx40tivRV2+RTwKtK+b6BfOPmj8g8AEC85uj9Fev3R+TPD0e2UfZ7KM57xDEpl+Y5olF9OlHP/Ab5YAon6s+nE/t/ZWN+k+V9QCmvz3e5zqaQD5qqDQ8ALy7SblNsK8czVq9NhznF9++nOgDpXdTX25oNP6JJ4PCorruiHJsSQay5ANfa8B8iQPdjtfXQIs+XN1k3ueFiYPUm+e2epL+NCLpdqpTmRdTX3w5ro5xfa6Ns91IENdEYVPYc0Th/GMV1JT04hwBb0Py88BtKdSfqg8pq+8uBlLZ9ose0k0ppTqSLANBMWfcF/rfYDnOBlU7Uq35UpDuAFkGK9PDagji2HFCULw2qrw1zibrNYbQIFBnHctK1RfPl82gp/2eJex/rl75fjjjOPVWkuQxYukl+e2e2wbuKZX00sF6ybxxb2haOanffoMfHulK+Pasv02X9nXHu28Qx+cBim809fOrEPnlKMe3zK8r/KhoDnaqG8+lxABNxPL4+M6/bqNiviu31mxVl/HJVGYlr5tyDCFXDHGDPFuXvS524SNt23U2DBg0aNGjQMP5h6AXQoEGDBg0aNGjo9UA8ifhhotePqpvp5eFZIgjsMNq4ydZkvhsTT5eXG/zmJjehLiduMrZ68jR3Q7ZqmFlMs3cH01xTmlfuJlXVkPbQkH7/SiJ4oPabn6H+qdAbiZt7bQUWEQE+f6ooy/XE09VWSv/mzDq/EHgeEeTW7u904NxMeZbrMI+/JNOnQWW14bliOZUbFy8FtupwG5xBBIE8kuQ9h7GbuNcV62Bai7xOpnVj50OUemYDfkn1Td/a8CDw0R7v89OK7e6GZF6PMHbzfw7wA1oHM+Z6Emo1nN3j37MS+RukV1MKxiACY1sd4+YC15WmeT/5J7XT4W4qerIg9qcftdg+LgJ26/Fy+RLVT+TXhscp9YpH9IhR1YhXGx4Djm6ybR1T2o7KwxNEo9MSpfSziXPKb4gelxoavag+puWGvYtpZnYwzaOleeV6QqsaqgJ9dqZ5gOXjwPep7uFlvQ7K4MTrfnP5PNpBHne12JbeTBwLc9M+SzyBXxn4neS1RpN12tF5qvj+Ex0ur717sG/tRb5R8lmiEXDjJP0vk3RPEw3QCxCBn9fROlDtToqgaeIVPv9qkd6Jnk5fXvEbFiGC8e+vmPZm4F2l9E4cT75Hh+faNpbnwkTAxNxMOe4ljmWLltKvV4xPy7tt8f2uVAcjltfVdRTBocTDCVXLojzNn5OyTyF6IMwd8x4mGr6XK6VfnmgMTH/jbsX3K7WxXsvD7C6W91al6bsOsiR6Ukx7wXTiemLtUrpvdfibXtNknmsT1w5VdadrgD3aLP/IrbtiPl/qcD6faDPfZYk6QNVDM068quw9tO4lJw0qKw9zqA+IuY7MgykV+RrR62mubvMsURdfqZR+VvHdn4n6XEMQLD06hxC9paW98D1VrK9pSdo0qCzd9srr4LaqeXa5/XQSUFMbWgZ90KNrC+KBpE7K9mSvlk1SDl1bNF8+VXXMJ4rfVqvTPEq8HjL7QEopv72TfG4p1sHPSuMeZezYMZcI5umo595iXj071mXyHnd9ucmyzQ13laYb175N9X2XqqFZb/srEcffqmvKW4j9oKPl22K5bUf1Q0Hl4QHg/aXpridf/0zX3Rcq5mtEHbJZvXwOERTdsudkelwnzuTfVt1NgwYNGjRo0DD+wdwdERERkcnKzBYGNiF6sViRaHR04gbefUSQ07Xu/nAP57k40YvBakQQ0oPEk6mXuPt/ezWficDM0srkK919tpktQQRBrE00MN9BBApc2uV8XgpsSTw9eQcRFHd5RdqNGHvdy1/c/a/dzLOfzGwK8Tq6tYthBca2zXuAi939mnHkP53YBtco8n6U2AavdPcbxlf6ic3MNiYCPFcmGljvJm5EXuzuzw6zbJ0wswWJQMgNiMarS4GLfAJdwJnZYsC2REPQMsR2dhuxrO8cZtl6zcyWJ17l9zziZvsNwO/c/cEk3auI12pOqt8PYGZrEa8xWZnoweABouHiUnd/Yphl61Zxvngx8ZueJXrDudDdH+gir5E+T5nZosCORK+nTxP78p/c/a5M2ilEr1nrEsfYX7n7vQMsbiUzm0qc/9Ym6mD3E9vpn9z9uVK6twNnuvujfSzLmsRxYwXG6px/cPdnMmlXIoKalyJ6qT1vmOcsM1uZ2B5WJQLIbyGChh7PpF0CeCPR6HoDsT08OcCy7kc0qF/q7luMM69FifXwfCJ45M/ufuX4S9lyvssQ59PViF5i7yGuG/7RRV4js+4GoagTvwJYkzgmPEEco//q7jd1mJcR++jzid6FViKO+RDHmsuAy8vHmjbzXZI4J6xFBDPdAlzg7ncn6bYG7ui03N0qzvuvJn7zrcBvmh3ri+WzOPGQyzpEL6uLE/XxOURgy0WjVB8HXVsM0rCvLYp7R6sR2+/ziF7bFizKcQNRR3ykjXz2JgIOa/7j7jOK79Ym6ikrEg8j3kbUBcd1n6iXx7pM3j2rL4+yoo4wk7jHsiRx3L+COO5PmP2oV0rrfSXi2Hc/EZx6Ra4u2yKvvtWJh1V3ExERmd8oqExEREREulYVVDaMsoiIiIjI/MXMzgFeB+z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iNLH+cl1fJbIsu+rnlEslqzMBAAAAAADmEyoDAADoEmOTxUllQ/Mmk5WFykYT9wIAAAAAAKQIlQEAAHSJ0YnEpLL+q0NkqfWXESaVAQAAAAAA9RMqAwAA6BL1TCob6i+bVCZUBgAAAAAA1EeoDAAAoEuMpCaVzVt3OdibDpWlAmkAAAAAAAApQmUAAABdIjmprH/+pLL0+suxRCANAAAAAAAgRagMAACgS4wmgmHzQ2SDfSWTyqaEygAAAAAAgPoIlQEAAHSJ5KSyeSGyob6ySWXWXwIAAAAAAPURKgMAAOgCtVoeY5PFaWPr5oXI1pVNKkvcCwAAAAAAkCJUBgAA0AUulayvHOq/OkRWHiozqQwAAAAAAKiPUBkAAEAXGC0JhRUnlZWsvzSpDAAAAAAAqJNQGQAAQBcYnahvUtlAb09kWfE6oTIAAAAAAKBeQmUAAABdYHSivkllWZbFut7iCsyy+wEAAAAAAOYTKgMAAOgCZZPGhvqKAbKh/uIKTJPKAAAAAACAegmVAQAAdIHRyfSksVSAbP1AsXbRpDIAAAAAAKBOQmUAAABdYGyiZFJZf3FS2YZE0GxkfKrhPQEAAAAAAKuTUBkAAEAXKJtUtq6vzkll4yaVAQAAAAAA9REqAwAA6AKjJesrh1KhstSkMusvAQAAAACAOgmVAQAAdIGyUNm61PrLgd5CbcSkMgAAAAAAoE5CZQAAAF3gYkmoLDWVLDmpbHI6arW84X0BAAAAAACrj1AZAABAF7iYmDTWV+mJgd7UpLJiqCzPI8amZprSGwAAAAAAsLoIlQEAAHTJHpNVAAAgAElEQVSBVKgsFR6LSE8qi7ACEwAAAAAAqI9QGQAAQBe4OD5VqK0vC5WV1FNnAAAAAAAAzCdUBgAA0AUaMans4oRJZQAAAAAAwOKEygAAALpAanXlhv7e5LVlYTPrLwEAAAAAgHoIlQEAAHSB1OrK8kll6bDZiEllAAAAAABAHYTKAAAAukB6/aVJZQAAAAAAQOMJlQEAAHS4Wi2PkclUqKxsUlm6ftGkMgAAAAAAoA5CZQAAAB1uZHI68rxYLwuVldVTKzQBAAAAAADmEyoDAADocGVrK8vCY0Mlk8qsvwQAAAAAAOohVAYAANDhLpaGynqT9d5KTwz0Fl/3Rqy/BAAAAAAA6iBUBgAA0OHK1lauL5lINvtZMXBWFk4DAAAAAAC4klAZAABAhyufVFYeKhtOfHahJJwGAAAAAABwJaEyAACADlcWBitbfxkRMTxY/OzCJaEyAAAAAABgcUJlAAAAHW5kIj2pLDWNbM7GRKjsvFAZAAAAAABQB6EyAACADle2/nK9UBkAAAAAANAEQmUAAAAd7uIy1l+mQmUXxqcjz/OG9QUAAAAAAKxOQmUAAAAdLjVhrNKTxVBfpfSeVKhsppaXrtIEAAAAAACYI1QGAADQ4c6NFUNlmwZ7I8uy0ntSobIIKzABAAAAAIDFCZUBAAB0uFQQrCw0ttjnQmUAAAAAAMBihMoAAAA6XDJUtm7hUNmwUBkAAAAAALBMQmUAAAAdrmz95ULKJpVdECoDAAAAAAAWIVQGAADQ4c6NTRZq1l8CAAAAAADNIlQGAADQwWZqeVycmC7UN63rW/C+svWYQmUAAAAAAMBihMoAAAA62MXxqcjzYt2kMgAAAAAAoFmEygAAADpYWQhssVDZUF8lKj1Z3ecBAAAAAADMESoDAADoYOfG0iGwTSXrLedkWZYMnp2/VFylCQAAAAAAcCWhMgAAgA52rmSy2GKhsoj0NDOTygAAAAAAgMUIlQEAAHSw5a6/LLtGqAwAAAAAAFiMUBkAAEAHOz82maxvHOxb9N5kqKzkPAAAAAAAgDlCZQAAAB3s3Jj1lwAAAAAAQGsJlQEAAHSwlay/TAXPzl+ailotX3FfAAAAAADA6tWWUFmWZTuzLPt0lmX/Ncuyj7WjBwAAgG5wLhEqG+qrRG9l8de5zeuKKzJruWllAAAAAADAwqqtfmCWZVsj4rGI2Hu59JNZlt2V5/nzre4FAACg06XWX25KhMVStgylr3tjbDI2l3wGAAAAAADQjkllvxIR10ZEdvmrEhFvWeymLMs2NLkvAACAjnMhMVWsntWXEQuEykYnV9QTAAAAAACwurUjVPbjEfFgRPxqRLwUEX8cEV9a6IYsyzZFxGNZlt3f/PYAAAA6xxtjxQCYUBkAAAAAANBMLV9/GREb8zz/3y5//0/ruSHP83NZlv1cRPxhlmUP5Hn+xea1BwAA0DlSAbAt61e4/lKoDAAAAAAAWEA7JpXly7opz78REX87Ij6XZdk9jW0JAACg88zU8jibmFS2tSQsNp9QGQAAAAAAsBztCJWdybLs1uXcmOf5ZyLijyLit7Msa8eUNQAAgJY5NzYZeeLPcsrCYvNtXidUBgAAAAAALF07QmWPRsTPruD+34iIWyPirzakGwAAgA5VFv6qd1JZX7UnNvQX/x5HqAwAAAAAAFhIO0Jln4uIX8yy7I7l3Jzn+bciYiwifqqhXQEAAHSAoyNHf/D9mZLw15ah/rrP27K+GEATKgMAAAAAABbS8lBZnuePRsT3IuLhLMtuX+YxJyPi3sZ1BQAA0H6PvPZI/MTv/kQcOHggIiLOlobK6ptUFpFegfnq2TPLaxAAAAAAAFgT2jGpLCLiFyNiT0R8I8uyjy/lxizL+iJiR0RsaUZjAAAA7fDIa4/ELz/6yzFVm4r9j++PAwcPLDCprP5QWWpV5mvnzsQjrz2y7F4BAAAAAIDVrS2hsjzPvxERvxoRwxHxmSzLfmcJ6zD/dkSsi4iRZvUHAADQSnOBsuna9A9q+x/fH48c+lby+iVNKktcW5seil9+9JcFywAAAAAAgKR2TSqLPM//eUT8q4jIIuITEfF0lmX/Lcuy/znLshvmX59l2fVZlv3riPh0ROQRcbClDQMAADTB0ZGj8eCjD14VKJvzlVefTN6zeV1v3eefHH+xWMz7Ymo6iwcffTCOjhyt+ywAAAAAAGBtaFuoLCIiz/O/FxH/MmaDZZWI+GhE/J8R8WKWZZNZlh3Psuy5LMvOR8TLMTulrHL59s+1o2cAAIBG2rN+Tzz4zgeTn+UzQ4XapnW9Ua3U9yp34OCBeOz1L5ecvS4efOeDsWf9nvqbBQAAAAAA1oS2hsoiIvI8/5WYDZMdidlwWVz+bzUidkTErRGx4YrPIiKej4h/08I2AQAAmuaB2x+Ih+5/qFDPp4uhsnpXXx44eCD2P74/eiqjyc9/5ra/Ew/c/sDSGgUAAAAAANaEtofKIiLyPP9CRNwVs6stLyxwaRYRj0fER/I8H2tFbwAAAK2QCpblM+sL122tI1Q2FyiLiMgq6Vend13zoWV0CQAAAAAArAXVdjcwJ8/zCxHxUJZl/ywiPhIR742Im2N2StlIRLwQEX+S5/kX29clAABA88xNDpsLhOUz6wrXjNZOLnjGlYGyiIisOpK87uzo5HLbBAAAAAAAVrmOCZXNyfN8IiL+4PIXAADAmjIXLPvUY/uT6y9fuPBUHDg4llxdOT9QFlE+qez0yEQDugUAAAAAAFajjguVAQAArHUP3P5AXJrM4lefK76yZZXRHwTHrgyWpQJls9dfTD7j9IhJZQAAAAAAQFpPuxsAAACg6IO7/2KyPrfOcv/j++PAwQMRUR4oi4jIKpPRV80L9VMXxxvUKQAAAAAAsNqYVAYAANCBTl1Ir6fMqm9OHpsLlh2+eLj0nIfufyj+/amhePXM1WswX79o/SUAAAAAAJBmUhkAAEAHen1k8VBZRCwaKHvg9gdi+/r+4vlCZQAAAAAAQAmhMgAAgA5UFvrqmRcqKzMXKIuI2L6hGCo7XRJaAwAAAAAAECoDAADoQGWhsqyyeKjsykBZRMQ1iVDZmdHJmJ6pLb9BAAAAAABg1RIqAwAA6ECnLo4Xauv6KnHdph0L3nfthmuvCpRFpCeV5flssAwAAAAAAGA+oTIAAIAOlJpUNtA/GYcvHl7wvsMXD8eBgweuqqVCZWXPAAAAAAAAECoDAADoQKnA1/nphQNlc/Y/vv+qYJlQGQAAAAAAsBRCZQAAAB3o9Egx8JVVL9Z9/5XBsu3rB5LXCJUBAAAAAAAp1XY3AAAAwNWmZ2pxZnSyUE+Fyq7dcG3pSsz9j++PiIgf3fPJ5OenLo6voEsAAAAAAGC1MqkMAACgw5wZnYw8L9bnh8oeuv+hePgTD8dD9z9Uetb+x/fHFw5/NrKs+JlJZQAAAAAAQIpQGQAAQIcpC3tdGSp76P6H4oHbH4iIiAduf2DBYNmvPbE/1vXXis9JrNgEAAAAAAAQKgMAAOgw/9+f/XGy3lOZDZVdGSibs1iw7FJ+slAzqQwAAAAAAEgRKgMAAOggBw4eKA2VZdWRZKBszkLBsvmrMyMiTgmVAQAAAAAACUJlAAAAHeLAwQOx//H9UZvekPz8797310sDZXPKgmWpUNnJC+OR5/nymgUAAAAAAFYtoTIAAIAOMBcoi4jIp4cLn2eRx8+/7a/UdVYqWNZTPV+4bnyqFucvTS2jWwAAAAAAYDUTKgMAAGizKwNlERH51MbCNds3DERvpf5XuPnBsqy3GCqLiDh+fnwJnQIAAAAAAGuBUBkAAEAbHR05Gr/+xK9fVaslJpXt2jiw5LOvDJb1VC8kr3n2xJElnwsAAAAAAKxuQmUAAABttGf9nvj1D/x6VHuqP6ilJpXtXEaoLOLNYFnZpLLJyaFlnQsAAAAAAKxeQmUAAABt9sHrPhi/8YHfiGpPNfK8EvnMhsI1O4eXFyqLmA2W/dL9P5P87IT1lwAAAAAAwDxCZQAAAB1gLlhWmdmS/HznxsEVnf8Lb/vpqPbkhfpxoTIAAAAAAGAeoTIAAIAO8cHrPhif+qF/k/xs1zLXX87Jsiz2bC6uujSpDAAAAAAAmE+oDAAAoINMTxVXX0ZE7FxhqCwivULz2PlLKz4XAAAAAABYXYTKAAAAOsiJkpDXSieVlZ1x4vx45HlxLSYAAAAAALB2CZUBAAB0kOMl6yh3JKaMLdWuTYOF2tjkTFwYn17x2QAAAAAAwOohVAYAANBBTiRCZVuG+mKgt7Lis8umnaWeCQAAAAAArF1CZQAAAB0kNalsZwOmlC10zvGSlZsAAAAAAMDaJFQGAADQQVJTw8omjC3Vro3F9ZcR5Ss3AQAAAACAtUmoDAAAoENMz9Ti1MXEpLIGhcrKzhEqAwAAAAAAriRUBgAA0CGOnx+PWl6sN2pS2dahvuirFF8Dj52z/hIAAAAAAHiTUBkAAECHOHI2He66dsu6hpzf05PFrk3FgNqRs2MNOR8AAAAAAFgdhMoAAAA6xNGSiWF7Nw827BnXbi4G1MrCbAAAAAAAwNokVAYAANAhyiaG7U0EwZYrFVA7fn48pmdqDXsGAAAAAADQ3YTKAAAAOkRqYlhfpSe2r+9v2DNSqzRnankcPz/esGcAAAAAAADdTagMAACgQ6Qmle3eNBA9PVnDnlG2SvNwyZQ0AAAAAABg7REqAwAA6BCpSWWNXH250HmpZwMAAAAAAGuTUBkAAEAHmJ6pJVdQlk0WW65rS8478oZJZQAAAAAAwCyhMgAAgA5w8uJEzNTyQr3RobLtG/qjv1p8FTSpDAAAAAAAmCNUBgAA0AHKJoU1ev1llmWxJxFUEyoDAAAAAADmCJUBAAB0gLJQV6MnlUVEXJsIqh0+a/0lAAAAAAAwS6gMAACgA5SHyho7qWz2zGJQ7cSF8ZicrjX8WQAAAAAAQPcRKgMAAOgARxKTwnorWVyzob/hz7p2SzGolucRx85ZgQkAAAAAAAiVAQAAdITX3iiGynZvGoyenqzhzypbqZnqAQAAAAAAWHuEygAAADrAq2eKga7rEhPFGqHs3FfPjDbleQAAAAAAQHcRKgMAAGizS5MzceLCeKF+w7ahpjxvX8m5r5w2qQwAAAAAAIiotruBbpJlWRYR90TE2yNie0TMRMTxiPh6nueH2tgaAADQxcrWTl6/tTmhsuGB3tg61BdnRievqh8yqQwAAAAAAAihsrpcDpP9QkT844i4ruSar0bEQ3me/2krewMAALpfWZhr39bmrL+MmJ1WVgiVnRYqAwAAAAAArL9cVJZlfRHxmYj4d1ESKLvsfRHxaJZlf6sljQEAAKvGqyWhsmZNKouI2Jc4+7U3xmJ6pta0ZwIAAAAAAN3BpLLF/duI+ERETEfEIxHxTERMRMTOmA2S3XzFtdWI+L+yLDuS5/l/a3WjAABAdzp0prj+Mssirt0y2LRn3rCtOAVtupbH0XOXmhpmAwAAAAAAOp9Q2QKyLPvzEfE3IuKxiPjpPM9fSVzzlyLi/4mIbZdLPRHxf2RZ9id5nk/Ovx4AAGC+1KSy3RsHo79aadoz921LB8deOT0qVAYAAAAAAGuc9ZcL+18j4oWI+HAqUBYRkef570XEj0bElaMF9kXEjzS9OwAAYFU4dLo4qWxfYpJYI6XWX872kl7FCQAAAAAArB1CZSWyLHtHRNwbEb+Q5/mFha7N8/zpiPi/55Xf06zeAACA1WNieiaOnb9UqDd7WljZpLLUKk4AAAAAAGBtESor9xci4uE8zx+t8/rfmffzNQ3uBwAAWIWOnL0UeV6s79va3Ell6/ursX1Df6H+ikllAAAAAACw5gmVlcsj4lNLuP77834ujhoAAACYp2zdZLMnlUVE3JB4xqEzQmUAAAAAALDWCZWVyPP8f8nz/GtLuGX+jpiDjewHAABYncomg13f5EllERH7thWfceTspZicrjX92QAAAAAAQOcSKmuczfN+/mJbugAAALrKi6dGCrUsi9jXgkll+7YVnzFTy+Pw2fl/MwMAAAAAAKwl1XY3sIrcccX3X83z/KWlHpBl2d5FLtm51DMBAIDO9tLrxVDZtZvXxUBvpenPvjERKouYDbrdtH19058PAAAAAAB0JqGyxvnQFd9/aplnHG5EIwAAQPdITSq7+ZrWBLpuvmZDsv7iqZH4yJ0taQEAAAAAAOhA1l82QJZlPRHx05d//Hye559vZz8AAEB3eGN0Ms6OTRXqN21v/urLiIjrt66L3kpWqKeCbgAAAAAAwNphUlljfDIiboqIcxHxP63gnGsX+XxnRHxrBecDAAAdJLX6MqJ1k8p6Kz1xw7aheP7k1X28cOpiS54PAAAAAAB0JqGyFcqybDAi9kdEHhE/m+f5keWetdi9WVacIAAAAHSvsolgN21vTagsYjbANj9U9uKpkajV8ujp8Q4CAAAAAABrkfWXK/fpiLgxIv5xnue/3+5mAACA7vFSR4TKNhRq41O1OHruUst6AAAAAAAAOotQ2QpkWfaXI+LvRMS/zvP8U+3uBwAA6C4vJtZfbh3qi81DfS3r4ZaSVZtWYAIAAAAAwNolVLZMWZbdHxG/dfnrl9rcDgAA0IVeSoTKbioJeTXLLTtKQmUn01PUAAAAAACA1U+obBmyLLsjIh6OiD+IiJ/P8zxvc0sAAECXGZ+aiSNniysmW7n6MiLihm1D0ZMV6y+UrOYEAAAAAABWP6GyJcqy7OaI+P8j4qsR8dfyPK+1uSUAAKALvfz6aKT+POXmFk8q669WYt/WoUL9RaEyAAAAAABYs4TKliDLsusj4ksR8UxE/FSe59NtbgkAAOhSz5+8mKzftL0Y8Gq21MrNF0+NhKHMAAAAAACwNgmV1SnLst0xGyh7JSI+nuf5ZB33bM6y7G81vTkAAKDrPHciHSp7y84NLe4k4pZEqGxkYjqOniuu5wQAAAAAAFY/obI6ZFl2TcwGyl6PiB/P83zR36xkWZZFxG9GxLkmtwcAAHSh75+4UKgND1Rj5/BAy3spC7I9dzwdfAMAAAAAAFY3obJFZFm2JSK+GBGXIuKjeZ6PLHL9YJZl74iIz0TEeyPic83vEgAA6DapSWW37RyO2b9Paa3bdw0n6wePF4NvAAAAAADA6ldtdwOdLMuyjRHxhYi4+3Lp7BJ/wfOpetZkAgAAa8v5sak4fn68UL9tV+tXX0ZE3LhtKPqqPTE5XbuqfjAxTQ0AAAAAAFj9TCorkWXZUEQ8HBHvXOYRtYj4943rCAAAWC2eKwlrla2hbLZqpSdu3bG+UD9o/SUAAAAAAKxJQmXl/ktE/PAK7v98nueHGtQLAACwinz/ZDqsddvO9BrKVrg98exDZ0ZjbHK6Dd0AAAAAAADtZP1liTzPP9nuHgAAgNWpbAJYuyaVRUTcvqsYKsvziOdOXIy3X7e5DR0BAAAAAADtYlIZAABAi30/sf5y7+bBWN/fvr/7SYXKIiIOHk+v6gQAAAAAAFYvoTIAAIAWqtXy+P6J4qSydq6+jIi4Q6gMAAAAAAC4TKgMAACghY6euxSjkzOF+m1tXH0ZEbFxXW/s3jhQqJet6gQAAAAAAFYvoTIAAIAWei4xpSwi4i1tDpVFpFdgfv/ExajV8jZ0AwAAAAAAtItQGQAAQAs9e/R8st7uSWUR6VDZyMR0HD471oZuAAAAAACAdhEqAwAAaKFUqGywtxI3bl/fhm6ulgqVRUQ8UxKEAwAAAAAAViehMgAAgBZ69lgxoHXH7uGo9GRt6OZqb927MVl/5ohQGQAAAAAArCVCZQAAAC1y6uJ4nLwwUajftTs9IazV9m4ejE3regv1p4+ca0M3AAAAAABAuwiVAQAAtEhq9WVExF170hPCWi3Lsrg70cuzRy9ErZa3oSMAAAAAAKAdhMoAAABa5NmjF5L1u0vWTrbDPXs3FWojE9PxypnRNnQDAAAAAAC0Q7XdDQAAAKwVzyQmlfVXe+Lm7evrO2BmKuLItyKOPRVx/OmIC8ciZiYjKn0Rw7sjdt0TsfveiL33RVSKayzrURZw++6Rc3FTvX0CAAAAAABdTagMAACgRVLrL2/fNRzVyiJDpC8ci3jityKe/M8RIyfLr/vub8/+d/2OiHf87OzX8O4l9ZiaVBYR8d0j5+Pj9+5d0lkAAAAAAEB3sv4SAACgBU6PTMTx8+OF+l17hstvmpmO+MqvRfyreyK+8umFA2VXGjkZ8ei/uHzfr82eU6cdw/2xfUN/of7MkWIgDgAAAAAAWJ2EygAAAFogNaUsIuLuPel1k3HmpYjf/FDEl391dsXlcsxMzt7/mx+aPa8OWZbFWxM9PXvsfEzP1JbXBwAAAAAA0FWEygAAAFqgbNLXXalQ2YlnIv7DhyOOf6cxDz/+nYj/+JHZc+vw1sQKzPGpWrxwaqQx/QAAAAAAAB1NqAwAAKAFnjp8rlDrq/bELddsuLp45qWI//KXIsZON7aB0ddnz61jYtlb96anp30n8W8AAAAAAABWH6EyAACAJsvzPJ567WyhfveejdFXveK1bGYq4jN/s/GBsjljpyM++3MRM9MLXnbPtcVJZRER3361+G8AAAAAAABWH6EyAACAJnv1zFicHZsq1O+dH976+v/euJWXZY49NfucBWwZ6osbtw0V6k8KlQEAAAAAwJogVAYAANBkTx1Oh7HuvW7zmz9cOBbx6Kdb09Cj/2L2eQt4x/WbC7WXT4/GG6OTzeoKAAAAAADoEEJlAAAATfbUa+eS9Xuvu2JS2RO/FTHTosDWzGTEt//TgpekQmURppUBAAAAAMBaIFQGAADQZKlQ2c7hgdi9aXD2h5mpiCf/c2ub+vZ/mn1uibJQ2bdfEyoDAAAAAIDVTqgMAACgiS5NzsTB4xcK9aumlB35VsTIyRZ2FbPPO/JE6cc3bV8fwwPVQv3bh4TKAAAAAABgtRMqAwAAaKJnj52P6VpeqF8VKjv2VAs7usICz+3pyeLtiWllTx85F5PTtWZ2BQAAAAAAtJlQGQAAQBM9VbIu8t7rrghsHX+6Rd3Mc/w7C378juuKobKJ6Vr8WWLyGgAAAAAAsHoIlQEAADTRk6+eK9SqPVnctXvjm4ULx1rY0RUWee47EpPKIiKeOPRGM7oBAAAAAAA6hFAZAABAk+R5Hk+8WpxUdvuu4Rjsq7xZmJlsYVd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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Small lattice\n",
"N = 8\n",
"m_s, c_s, T = full_simulation(20, N, 200000)\n",
"\n",
"# Medium lattice\n",
"N = 32\n",
"m_m, c_m, T = full_simulation(20, N, 200000)\n",
"\n",
"# Large lattice\n",
"N = 128\n",
"m_l, c_l, T = full_simulation(20, N, 200000)\n",
"\n",
"# The T is equal for all the simulations\n",
"\n",
"# Magnetization\n",
"plt.scatter(T, m_s, label=r\"$N$ = 8\", marker='*')\n",
"plt.scatter(T, m_m, label=r\"$N$ = 32\", marker='o')\n",
"plt.scatter(T, m_l, label=r\"$N$ = 128\", marker='x')\n",
"\n",
"T_2 = np.linspace(1, 5, 10000)\n",
"m_analytical = (1 - (np.sinh(2 / T_2)) ** (-4)) ** (1 / 8) # Onsager's analytical solution\n",
"plt.plot(T_2, m_analytical, label = \"Analytic solution\")\n",
"plt.axvline(2.269, ymax=0.4) # Adding vertical line to illustrate that the functions comes screaming down at T_c\n",
"plt.legend()\n",
"plt.title(r\"Comparison of the numerical and analytical results for the magnetization\")\n",
"plt.xlabel(r\"$T$ [K]\")\n",
"plt.ylabel(r\"$m$\")\n",
"plt.show()\n",
"\n",
"\n",
"# Specific heat\n",
"plt.scatter(T, c_s, label=r\"$N$ = 8\", marker='*')\n",
"plt.scatter(T, c_m, label=r\"$N$ = 32\", marker='o')\n",
"plt.scatter(T, c_l, label=r\"$N$ = 128\", marker='x')\n",
"\n",
"plt.xlabel(r\"$T$ [K]\")\n",
"plt.ylabel(r\"$c$\")\n",
"plt.title(r\"Comparison of the numerical and analytical results for the specific heat\")\n",
"beta = 1 / T_2\n",
"# Assuming J_v = J_p = 1\n",
"J_v = 1\n",
"J_p = 1\n",
"kappa_1 = 2 * np.sinh(2 * beta * J_v) / (np.cosh(2 * J_v * beta) ** 2 )\n",
"kappa_2 = 2 * np.tanh(2 * beta * J_v) ** 2 - 1\n",
"\n",
"elliptical_first_kind = scipy.special.ellipk(kappa_1)\n",
"elliptical_second_kind = scipy.special.ellipe(kappa_1)\n",
"\n",
"C_v_analytical = 2 / np.pi * (beta * J_v) ** 2 / np.tanh(2 * beta * J_v) ** 2 *(\n",
" 2 * elliptical_first_kind - 2 * elliptical_second_kind -\n",
" (1 - kappa_2) * (np.pi / 2 + kappa_2 * elliptical_first_kind))\n",
"plt.plot(T_2, C_v_analytical, label= \"Analytic solution\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From the first figure it is clear that the two largest lattices, with $N=32$ and $N=128$ respectively, reproduces the analytic solutions for the magnetization on an infinite lattice quite well. In all of the three simulations at temperatures higher than $T_c$ the magnetization is zero, i.e. there is no spontaneous magnetization. However, we observe the superiority of the biggest lattice at the measurement closer to $T_c$. Here the derivative of the magnetization is infinite, so even though it seems like the two smaller lattices almost have the correct value for $m$, the deviation is actually quite large as the magnetization comes screaming down at $T_c$. Disregarding the measurement at $T_c$, we see can use $N=32$ and approximately get the same results as for the larger lattice. The simulation with $N=32$ runs eight times faster than $N=128$, which is a significant difference, so we conclude that for the magnetization, we can get away using only $N=32$ outside of the critical region. But for simulations closer to $T_c$ we note that the larger lattice, the better result.\n",
"\n",
"For the heat capacity, we observe a similar trend. Outside of the critical region, all three lattices actually preform equally well, as they all underestimate the heat capacity slightly. As $c$ diverges logarithmically at $T_c$, we also observe an abrupt increase in specific heat at this temperature for $N=32$ and $N=128$, with the larger lattice increasing the most.\n",
"\n",
"Based on our results, it may seem using a large $N$ is unnecessary, as the results from the simulation with $N=32$ are almost identical with the simulation with $N=128$. This is true, but our main interest is in the phase transition that happens at $T_c$. Thus we actually need to use a large $N$ in order to study the system's behavior close to $T_c$ because $N$ significantly affects the thermodynamic quantities in this region. We will study the critical region in more detail later."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lars Onsager actually found the formula for the specific heat for general $J$ and $J'$, but the formula becomes way more complicated than equation $\\eqref{C_B}$. We will therefore borrow one of his figures from his paper to compare with our numerical result. In this case we use $ J = 1$ while, $ J'$ will take the values 1, 0.01, and 0. Here we use quite a large $N$ because $J' = 0.01$ should be simulated with a big lattice in order to obtain results comparable with Onsager's result. "
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"# These simulations were run overnight, and are split up \n",
"N = 256\n",
"\n",
"J_p = 1\n",
"m_1, c_1, T_1 = full_simulation(30, N, 200000, T_min = 0.3, T_max = 3, J_p = J_p)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"N = 256\n",
"\n",
"J_p = 0.01\n",
"m_2, c_2, T_2 = full_simulation(30, N, 200000, T_min = 0.3, T_max = 1.5, J_p = J_p)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"N = 256\n",
"\n",
"J_p = 0\n",
"m_3, c_3, T_3 = full_simulation(30, N, 200000, T_min = 0.3, T_max = 1.5, J_p = J_p)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"J_p = 1\n",
"plt.plot(T_1, c_1, label= \"$J'$ = {}\".format(J_p), linestyle = '-.')\n",
"\n",
"J_p = 0.01\n",
"# Multiply the temperature with 2 to have it on the same format as Onsager \n",
"plt.plot((T_2 * 2), c_2, label= \"$J'$ = {}\".format(J_p), linestyle = '-')\n",
"\n",
"J_p = 0\n",
"# Multiply the temperature with 2.02 to have it on the same format as Onsager\n",
"plt.plot((T_3 * 2.02), c_3, label= \"$J'$ = {}\".format(J_p), linestyle = '--')\n",
"\n",
"\n",
"plt.xlabel(r\"$\\frac{2}{H-H'}$ [K]\")\n",
"plt.ylabel(r\"$c$\")\n",
"plt.title(r\"Specific heat, $c$, with different values for $J'$. $N$ = {}\".format(N))\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"attachments": {
"Onsager_figure.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"![Onsager_figure.png](attachment:Onsager_figure.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lars Onsager used a slightly different notation than us, as he plotted the heat capacity against $\\frac{2}{H-H'}$, where $H = \\beta J$ and $H' = \\beta J'$. In the case of the anisotropic simulations ($J \\neq J'$), we can convert from temperature to his unit, by simply multiplying the temperature by $\\frac{2}{J-J'}$. With $J'=0$, we observe that we rediscover Ernst Ising's famous solution for the heat capacity of a one dimensional Ising chain with periodic boundary conditions (a ring), as we simply have $N$ such rings that do not interact. In the isotropic case, we again find that our simulation yields results that are comparable with \\eqref{C_B}, and as we used a bigger lattice than previously, we get even better results.\n",
"\n",
"For $J'=0.01 J$, there should be a phase transition at $\\frac{2}{H-H'} = 1$, where the temperature is equal to $T_c'$, and the heat capacity diverges. However, as seen from Onsager's figure, this divergence only affects temperatures extremely close to the critical temperature, so unless we run our simulation on a temperature very close to the critical temperature, we will not see anything resembling a divergence. Qualitatively, our results for $J'=0.01 J$ are in very good accordance with Onsager's figure. We see that the heat capacity starts of being smaller than the case of $J'=0$, and just before the temperature reaches $T_c'$, there is sharp increase, with a correspondingly fast decrease after $T_c'$. This is an indication that something drastically occurs in our system at $T_c'$, i.e. indicating a phase transition. For higher temperatures, we observe that the heat capacity converges towards the case of $J'=0$, as the coupling between the interactions between columns are too weak to affect the system. \n",
"\n",
"Now, let us for completeness run a simulation that has an external magnetic field and see how the lattice responds. Remember, as $B \\neq 0$, Onsager's solution is not valid anymore, as mentioned earlier there is no known analytic solution for this problem. However, we can still try to make sense of the results from a physical perspective, and justify it's validity based on simple physical principles."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
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},
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},
{
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 128\n",
"m, c, T = full_simulation(45, N, 300000, B = 1, T_max = 10)\n",
"\n",
"plt.plot(T, m)\n",
"plt.xlabel(r\"$T$ [K]\")\n",
"plt.ylabel(r\"$m$\")\n",
"plt.title(r\"Magnetization, $m$, with nonzero exernal magnetic field, $B=1$ and $N$ = {}\".format(N))\n",
"plt.show()\n",
"\n",
"plt.plot(T, c)\n",
"plt.xlabel(r\"$T$ [K]\")\n",
"plt.ylabel(r\"$c$\")\n",
"plt.title(r\"Specific heat, $c$, with nonzero exernal magnetic field, $B=1$ and $N$ = {}\".format(N))\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we see that we have non-zero magnetization at much higher temperatures than previously. The explanation for this is simple, to minimize the energy of the system, the spins try to point in the same direction as $B$. However, the external magnetic field is still too weak to align all the spins at temperatures higher than 2 K. Both the thermal excitations of the system as well as the interaction parameters $J$ and $J'$ work against having total spin alignment.\n",
"\n",
"The specific heat also illustrates this power struggle between $B$ and it's opponents. The more evenly they are matched, the more spin fluctuations there will be, and thus the energy fluctuations will also increase. As we saw earlier, the specific heat is proportional to energy fluctuations, so when $c$ has it's maximum that means that the struggle for alignment is at it's most intense. At 4 K, we observe that $c$ has a maximum, thus we conclude that the war between $B$ and $J$, $J'$ and thermal excitations is raging at it's worst at this temperature."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Critical exponents\n",
"\n",
"As we have dedicated so much time to obtaining a lot of computational power, we want to use our model to find one of the critical exponents of the two-dimensional Ising model. Critical exponents describe the behavior of thermodynamic quantities near phase transitions. In higher dimensions, as there is no known analytic solutions, there has been done a lot numerical work on determining precise estimates for the critical exponents. The critical exponents are extremely sensitive to deviations from the analytic result, so now we want to push our model to it's limits.\n",
"\n",
"The critical exponent $\\beta$ (not to be confused with the inverse temperature that we have been using $\\beta$ to denote thus far) describes how the magnetization vanishes near $T_c$. In this temperature domain, the magnetization can be written as\n",
"\n",
"$$ \n",
"m \\sim \\epsilon |T-T_C|^\\beta,\n",
"$$\n",
"where $\\epsilon$ is some constant. By Taylor expanding the analytic solution for $m$, equation $\\eqref{magnetization}$, one finds that the 2D infinite Ising model has $\\beta = \\frac{1}{8}$. Let us see how our model fares. "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"def mag_low_T(T, epsilon, beta):\n",
" \"\"\"Dummy function declariation that is needed to use the curve_fit function from the scipy library. \n",
" \n",
" Parameters:\n",
" T: Temperature\n",
" epsilon: Fitting parameter\n",
" beta: Fitting parameter, the critical exponent for magnetization with no external field\n",
" Returns:\n",
" m: epsilon * T ** beta\n",
" \"\"\"\n",
" m = epsilon * T ** beta\n",
" return m\n",
"\n",
"def critical_exponent(K, N, sweeps, T_low, show_time = False):\n",
" \"\"\"Function that calculates the critical exponent of the 2D Ising model with B=0, and J_v = J_p = 1. Runs a Monte\n",
" Carlo simulation with temperatures close to T_c and estimates the critical exponent, uses the simualtions with T\n",
" between T_low and T_c\n",
" \n",
" Parameters:\n",
" K: Number of temperatures we want simulated\n",
" N: Number of columns and rows in the lattice\n",
" T_low: The start of the temperature interval the simulations are ran with.\n",
" Returns:\n",
" m_list: The magnetization as a function of deviation from the critical temperature, (Kx1) array\n",
" c_list: The specific heat as a function of deviation from the critical temperature, (Kx1) array\n",
" T_list: Contains the temperatures the simulations are run with, more accurately how much they\n",
" deviate from T_c, (Kx1) array\n",
" \"\"\"\n",
" T_c = 2.26918 # Can be derived from Onsager's equaitons\n",
" \n",
" T_list = np.linspace(T_low, T_c, K)\n",
" m_list = full_simulation(K, N, sweeps, T_low, T_c)[0]\n",
" deviation_from_T_c = np.absolute(T_list - T_c)\n",
" params = scipy.optimize.curve_fit(mag_low_T, deviation_from_T_c, m_list)[0]\n",
" beta = params[1]\n",
" epsilon = params[0]\n",
" print(\"N = \", N, \", \\t\", r\"beta = \", \"%.4f\" % beta)\n",
" return m_list, beta, deviation_from_T_c, epsilon\n",
" \n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"N = 64 , \t beta = 0.2260\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/niels/anaconda3/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:11: RuntimeWarning: divide by zero encountered in power\n",
" # This is added back by InteractiveShellApp.init_path()\n"
]
}
],
"source": [
"# Again we split the simulations\n",
"m_64, beta_64, T_list_64, epsilon_64 = critical_exponent(25, 64, 200000, 2)\n"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"N = 128 , \t beta = 0.1393\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/niels/anaconda3/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:11: RuntimeWarning: divide by zero encountered in power\n",
" # This is added back by InteractiveShellApp.init_path()\n"
]
}
],
"source": [
"m_128, beta_128, T_list_128, epsilon_128 = critical_exponent(25, 128, 600000, 2)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"N = 256 , \t beta = 0.1170\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/niels/anaconda3/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:11: RuntimeWarning: divide by zero encountered in power\n",
" # This is added back by InteractiveShellApp.init_path()\n"
]
}
],
"source": [
"m_256, beta_256, T_list_256, epsilon_256 = critical_exponent(25, 256, 300000, 2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As expected, the critical exponents from our simulations gradually goes towards $\\beta = \\frac{1}{8}=0.125$, as $N$ increases. The smallest lattice drastically overestimates $\\beta$, thus these simulations really illustrate the importance of using a big lattice when comparing with results from an infinite lattice. The beauty of determining the critical exponents is that they do not depend on experimental parameters such as $J$, they generally only depend on the dimension of the system. As $J$ is almost impossible to reliable measure, the critical exponents are far more important when describing a phase transition."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"To make your own Ising model is an excellent exercise, especially as it forces you to keep your code clean and efficient. With today's computers, it is easy to be careless when writing code, as it will most likely run more than fast enough. Our last function call, ran the most basic parts of the code a trillion times! Being proficient at a high-speed language such as Fortran is an excellent tool for a computational physicist to have. It must be noted that some of the more time consuming simulations (especially those with $N>128$) in this notebook were run over night, so even though we had a lot of computational power, we still needed time to obtain reliable results. We strongly recommend the book by Newman and Barkema [[4]](#rsc), if you want to study more sophisticated Monte Carlo methods than the Metropolis-Algorithm and continue studying the various thermodynamic quantities of the Ising model such as for example the magnetic susceptibility, $\\chi$ or if you want to expand the Ising model to three dimensions. There is still much to learn and do with the Ising model!\n",
"\n",
"## Acknowledgements\n",
"Special thanks go to Prof. Asle Sudbø for creating the project, providing insightful comments and for borrowing us the necessary literature. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
" \n",
"## Resources and further reading\n",
"[1] : L. Onsager, *Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition*, American Physical Society, 1944. \n",
"[2] : K. Huang, *Statistical Mechanics*, John Wiley & Sons, 1987. \n",
"[3] : Yang, C. N, *The Spontaneous Magnetization of a Two-Dimensional Ising Model*, American Physical Society, 1952. \n",
"[4] : Newman, M. E. J & Barkema, G. T, *Monte Carlo methods in Statistical Physics*, Oxford University Press, 1999. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Appendix\n",
"We give the Fortran(90) subroutine below, which was converted into a Python Module with F2PY."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"``` fortran\n",
"! Author: Eilif Sommer Øyre and Niels Henrik Aase\n",
"! Runs a single Monte Carlo sweep on a 2D Ising lattice\n",
"! The boundary conditions are periodic.\n",
"\n",
"\n",
"subroutine random_sweep(del_He_sweep, del_m_sweep, S, S_initial, beta, &\n",
" B, J_v, J_p, rand_numbers, rand_list_index1, rand_list_index2, N, N_squared)\n",
" \n",
" implicit none\n",
" ! Declearing arguments\n",
" integer ,intent(in) :: N, N_squared\n",
" real ,intent(in) :: beta, B, J_v, J_p\n",
" real ,intent(in) :: rand_numbers(N_squared)\n",
" integer ,intent(in) :: rand_list_index1(N_squared), rand_list_index2(N_squared)\n",
" integer ,intent(in) :: S_initial(N,N)\n",
" ! Declearing private parameters\n",
" integer ,intent(out) :: S(N,N)\n",
" real ,intent(out) :: del_He_sweep, del_m_sweep\n",
" real :: nn, del_E, del_m\n",
" logical :: check\n",
" integer :: j, k, l\n",
" integer :: k_neighbour_under, k_neighbour_over\n",
" integer :: l_neighbour_right, l_neighbour_left\n",
"\n",
" del_He_sweep = 0\n",
" del_m_sweep = 0\n",
"\n",
" S = S_initial\n",
"\n",
" do j = 1,N_squared\n",
" l = rand_list_index2(j)\n",
" k = rand_list_index1(j)\n",
"\n",
" ! Because of periodic boundary conditions nearest\n",
" ! neighbours indecies must be carefully examined.\n",
" ! If position (k, l) is on the bottom row:\n",
" if (k==N) then\n",
" k_neighbour_over = 1\n",
" k_neighbour_under = k - 1\n",
" ! If position (k, l) is on the top row:\n",
" elseif (k==1) then\n",
" k_neighbour_over = k + 1\n",
" k_neighbour_under = N\n",
" else\n",
" k_neighbour_over = k + 1\n",
" k_neighbour_under = k - 1\n",
" endif\n",
"\n",
" ! If position (k, l) is on the righmost column:\n",
" if (l==N) then\n",
" l_neighbour_right = 1\n",
" l_neighbour_left = l - 1\n",
" ! If position (k, l) is on the leftmost column:\n",
" elseif (l==1) then\n",
" l_neighbour_right = l + 1\n",
" l_neighbour_left = N\n",
" else\n",
" l_neighbour_right = l + 1\n",
" l_neighbour_left = l - 1\n",
" endif\n",
"\n",
" ! Calculating energy contribution from nearest neighbours\n",
" nn = J_v*(S(k_neighbour_under, l) + S(k_neighbour_over, l)) + J_p* &\n",
" ( S(k, l_neighbour_right) + S(k, l_neighbour_left))\n",
" del_E = 2*S(k,l)*(nn + B)\n",
"\n",
" if (del_E <= 0) then\n",
" check = .true.\n",
" else\n",
" check = (exp(-beta*del_E) > rand_numbers(j))\n",
" endif\n",
"\n",
" if (check) then\n",
" del_m = -2*S(k,l)/ real(N**2)\n",
" S(k,l) = -1*S(k,l)\n",
"\n",
" else\n",
" del_m = 0\n",
" del_E = 0\n",
" endif\n",
"\n",
" del_He_sweep = del_He_sweep + del_E\n",
" del_m_sweep = del_m_sweep + del_m\n",
" enddo\n",
" return\n",
"\n",
"end subroutine random_sweep\n",
"```"
]
}
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