{
"cells": [
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"cell_type": "markdown",
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"source": [
"\n",
" \n",
"\n",
"# The XY model and the Ising model in one and two dimensions\n",
"\n",
"### Examples - Statistical Mechanics\n",
"\n",
"By Peder N. Galteland, Asle Sudbø, Andreas S. Krogen, Håkon W. Ånes, Jonas Tjemsland and Jon Andreas Støvneng\n",
" \n",
"Last edited: March 22nd 2018 \n",
"___"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Introduction\n",
"\n",
"In this example we discuss the physics of the classical paramagnet and the Ising model in one and two dimensions, and along the way touch on general aspects of statistical mechanics. \n",
"\n",
"The Ising model is a mathematical model in statistical mechanics, which can describe the phenomenon of ferromagnetism. The model consists of discrete variables that represent magnetic dipole moments of atomic $\\textit{spins}$ that can be in one of two states (+1 or -1). The spins can be arranged in a lattice, allowing each spin to interact with its neighbours. The model allows for the identification of phase transitions, as a simplified model of reality. The two-dimensional square lattice Ising model is one of the simplest statistical models to show a phase transition [1].\n",
"\n",
"The XY model is an important spin model of easy plane anisotropic magnetic insulators where spins $\\mathbf{S}_i$ with two components $\\mathbf{S}_i = \\left(S_{xi}, S_{yi}, 0\\right)$ reside on a set of lattice points [2]. (It is also a much used effective description of superfluids such as He$^{4}$ at low temperatures, which is a condensed matter system with dissipation-less transport of matter! [3]) Here, we take the lattice to be a three-dimensional cubic lattice. The Hamiltonian of this spin system is given by\n",
"\n",
"\\begin{align*}\n",
"H = -J \\sum \\limits_{\\left< i,j \\right>} \\mathbf{S_i} \\cdot \\mathbf{S_j} - \\mathbf{h} \\cdot \\sum\\limits_{i=1}^{N} \\mathbf{S_i},\n",
"\\end{align*}\n",
"\n",
"where $\\left< i, j \\right>$ means that lattice sites $i$ and $j$ are nearest neighbours, and $J$ is the energy that couples together spins on nearest neighbour lattice sites. The vector $\\textbf{h}$ represents an external magnetic field."
]
},
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"cell_type": "markdown",
"metadata": {},
"source": [
"### Analytical solution of the XY paramagnet\n",
"\n",
"Consider a collection of $N$ independent XY spins $\\mathbf{S}_i = \\left(S_{xi}, S_{yi}, 0\\right)$ in an external magnetic field $\\mathbf{h} = \\left(h, 0, 0\\right)$, such that $\\mathbf{h} \\cdot \\mathbf{S}_i = hS\\cos(\\phi_i)$, where $\\phi_i$ is the angle between the spin and the external magnetic field, and $S$ is the length of the spin, which we consider to be fixed. We set $J$ = 0, such that all spins are independent. The Hamiltonian of this system is\n",
"\n",
"\\begin{align*}\n",
"H = - \\mathbf{h} \\cdot \\sum\\limits_{i=1}^{N} \\mathbf{S_i} = -hS \\sum\\limits_{i=1}^{N} \\cos(\\phi_i),\n",
"\\end{align*}\n",
"\n",
"with the system illustrated below.\n",
"\n",
" \n",
"\n",
"#### Canonical partition function $Z$\n",
"\n",
"To determine thermodynamic quantities such as the pressure, energy density and the entropy of the system, we calculate the *partition function* $Z$, in our case the classical canonical one, given in general as\n",
"\n",
"\\begin{align*}\n",
"Z = \\sum\\limits_{i=1} e^{-\\beta E_i},\n",
"\\end{align*}\n",
"\n",
"where $\\beta$ is a so-called *Lagrange multiplier*, and can be found to be equal to $1/k_B T$. (It arises from our goal of finding the most probable energy distribution subject to certain constraints. Further details can be found in any standard textbook on statistical mechanics, e.g. [4].) The partition function $Z$ is one of the most important quantities in equilibrium statistical mechanics. It is a sum over all microstates $i$. In quantum mechanics, the index $i$ is typically a discrete variable and the partition function is a dimensionless variable. In classical mechanics, the variable $i$ often becomes continuous and the sum is replaced by an integral. In our case $\\phi \\in [0, 2\\pi)$ is a continuous variable, thus inserting our expression for $H$ into our expression for $Z$, we get\n",
"\n",
"\\begin{align*}\n",
"Z &= \\sum\\limits_{\\{\\mathbf{S_i}\\}} e^{-\\beta H} = (Z_1)^N \\\\\n",
"Z_1 &= \\sum\\limits_{\\mathbf{S}} e^{\\beta \\mathbf{h} \\cdot \\mathbf{S}} = \\int_0^{2\\pi} e^{\\beta h S \\cos\\phi} d\\phi= 2\\pi I_0(\\beta h),\n",
"\\end{align*}\n",
"\n",
"where $I_0$ is the modified Bessel function of the first kind and order zero. In the last step, we have set $S = 1$ for convenience. See the appendix for more details about the modified Bessel function. We plot the modified Bessel function of orders 0 through 3, to aid our intuition. Codewise, we import the necessary packages and set common figure parameters. We use the implementation of the modified Bessel function provided in the `scipy` library, `scipy.special.i0` for order 0 and `scipy.special.iv` for higher orders $v$."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.special as sci\n",
"import time\n",
"import itertools as it\n",
"from matplotlib import rc\n",
"plt.style.use('bmh')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# --- Set common figure parameters\n",
"newparams = {'font.size': 14}\n",
"plt.rcParams.update(newparams)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": true
},
"outputs": [
{
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16, 4))\n",
"x = np.linspace(0, 4, 100)\n",
"plt.plot(x, sci.i0(x));\n",
"plt.plot(x, sci.iv(1, x));\n",
"plt.plot(x, sci.iv(2, x));\n",
"plt.plot(x, sci.iv(3, x));\n",
"plt.title('Modified Bessel function')\n",
"plt.xlabel('$x$')\n",
"plt.ylabel('$I_v$')\n",
"plt.legend(['$I_0$', '$I_1$', '$I_2$', '$I_3$'], loc=2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Average magnetisation per spin $m(h, T)$\n",
"\n",
"Now that we know $Z$, we decide to calculate the component $M$ of the average magnetisation that is parallel to the external field and the specific heat $C_h$ (at constant magnetic field) of our system. Let $m(h, T)$ denote the average magnetisation per spin, which is defined by\n",
"\n",
"\n",
"\\begin{align*}\n",
"m &\\equiv \\frac{1}{N} \\left<\\hat{h} \\cdot \\mathbf{M}\\right> \\\\\n",
"&= \\frac{1}{N} \\left<\\hat{h} \\cdot \\sum_i \\mathbf{S}_i\\right> \\\\\n",
"\\left<\\hat{h} \\cdot \\mathbf{M}\\right> \n",
"&= \\frac{\\partial(\\ln{Z})}{\\partial(\\beta h)} = N \\frac{I_0'(\\beta h)}{I_0(\\beta h)} = Nm\n",
"\\\\\n",
"\\Rightarrow m(h, T) &= \\frac{I_1(\\beta h)}{I_0(\\beta h)},\n",
"\\end{align*}\n",
"\n",
"where we have used the relation $I_0' = I_1$.\n",
"It is of particular interest to investigate the values of $m$ when $\\beta h S \\ll 1$.\n",
"A plot is useful when we want to gain a bit of physical insight:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16, 4))\n",
"beta_hs = np.linspace(0, 16, 200)\n",
"plt.plot(beta_hs, sci.i1(beta_hs)/sci.i0(beta_hs));\n",
"plt.title('Magnetisation per spin in the XY model')\n",
"plt.xlabel('$\\\\beta h$')\n",
"plt.ylabel('$m$')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We observe that $m \\to 0 $ as $\\beta h \\to 0$. This is the case when $h \\to 0$ or $T \\to \\infty$. The first limit means that the average magnetisation vanishes as we remove the external field; all microstates have the same energy and thus also equal probabilities, which makes the average magnetisation go to zero. The latter limit means that as the temperature rises, the thermal fluctuations will begin to dominate the aligning effect of the external field.\n",
"\n",
"The function $m(h, T)$ is analytic everywhere, including $(0,0)$, hence $\\lim\\!_{(h,T)\\to(0,0)}\\; m(h,T) = 0$ for any path we let $(h,T)$ approach the origin. In other words, it is not possible to retain a net magnetisation after the external field has been removed - just as one would expect when there is no coupling between the spins!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Specific heat per spin $C_h$\n",
"\n",
"To calculate $C_h$, we first find the enthalpy $H_E = \\langle H \\rangle$ of our system\n",
"\n",
"\\begin{align*}\n",
"H_E &= - \\frac{\\partial (\\ln{Z})}{\\partial \\beta} = -h N \\frac{I_1(\\beta h)}{I_0(\\beta h)} \\\\\n",
"C_h &= \\frac{1}{N} \\left(\\frac{\\partial H_E}{\\partial T}\\right)_h = -h \\frac{\\partial(I_1/I_0)}{\\partial (\\beta h)} \\frac{\\partial (\\beta h)}{\\partial T} \\\\\n",
"&= \\left(\\frac{-h^2}{-k_B T^2}\\right) \\cdot \\left(\\frac{I_1'}{I_0} - \\frac{I_1^2}{I_0^2}\\right) \\\\\n",
"&= k_B h^2 \\frac{\\beta^2}{I_0^2} (I_1'I_0 - I_1^2).\n",
"\\end{align*}\n",
"\n",
"By using the recursion relations we find\n",
"\n",
"\\begin{align*}\n",
"I_1' &= \\frac{d}{dx}(xI_1) = I_1 + xI_1' = xI_0, \\\\\n",
"I_1' &= \\frac{1}{x}(xI_0 - I_1), \\\\\n",
"I_1'I_0 - I_1^2 &= I_0(I_0 - \\frac{I_1}{x}) - I_1^2, \\\\\n",
"x \\rightarrow 0 : I_0 &\\rightarrow 1, \\\\\n",
"x \\ll 1 : I_0 &\\simeq 1, \\\\\n",
"I_1 &\\simeq \\frac{x}{2}, \\\\\n",
"\\implies C_h &\\simeq \\frac{1}{2} k_B (\\beta h)^2.\n",
"\\end{align*}\n",
"\n",
"What happens when $h \\to 0$? We get that $C_h \\to 0$! The reason for this is as follows: Another way of writing the specific heat is in terms of energy fluctuations\n",
"\n",
"\\begin{align*}\n",
"C_h &= k_B \\beta^2 \\left[\\langle H^2 \\rangle - \\langle H \\rangle^2\\right], \\\\\n",
"H &= - \\mathbf{h} \\cdot \\sum\\limits_{i=1}^N \\mathbf{S}_i.\n",
"\\end{align*}\n",
"\n",
"$h \\to 0 \\implies H \\to 0 \\implies$ no energy fluctuations $\\implies$ no specific heat $C_h$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Numerical solution of the Ising model in one and two dimensions\n",
"\n",
"We now move from discussing the analytical solution of the paramagnet to the numerical solution of the Ising model in one and two dimensions. It is a simple, but very important model of $N$ interacting spins, which reside on points of some lattice. It can thus serve as a model of magnetic insulators, but has also a wide variety of applications in many other systems. Since many of its properties are known exactly in one and two dimensions (and with great precision also in three dimensions based on numerical work), it serves as a useful benchmark for approximation schemes and calculational schemes. In this problem, we will study the model numerically on a one-dimensional chain\n",
"and on a two-dimensional square lattice with periodic boundary conditions. The model is defined by the Hamiltonian\n",
"\n",
"\\begin{align*}\n",
"H = -J \\sum\\limits_{\\left< i,j \\right>} s_i s_j - h \\sum\\limits_i s_i,\n",
"\\end{align*}\n",
"\n",
"where $\\left< i,j \\right>$ means that lattice sites $i$ and $j$ are nearest neighbours, $J > 0$ is the energy that couples together spins on nearest neighbour lattice sites, and $h$ is an external magnetic field. Without loss of generality, we set $h > 0$. Finally, $s_i$ are the spin variables of the system, which can take the values $s_i =\\pm 1$.\n",
"\n",
"The canonical partition function of this system is then given by\n",
"\n",
"\\begin{align*}\n",
"Z = \\sum\\limits_{\\{s_i\\}} e^{-\\beta H}.\n",
"\\end{align*}\n",
"\n",
"This model may be studied with two different conditions on the boundary spins:\n",
"\n",
"i) Open boundary conditions. Here, the spins on the edge of the lattice only interact with the spins in the interior of the lattice.\n",
"\n",
"ii) Periodic boundary conditions. Here, the spins on the edge of the lattice interact with the spins in the interior of the lattice and with the spins on the same row or column on the opposite edge. (This corresponds to wrapping a two-dimensional square lattice into a torus).\n",
"\n",
"In this example we use periodic boundary conditions."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Computing the quantities $Z$, $U$, $C_h$ and $m$ (per spin)\n",
"\n",
"We want to compute numerically the partition function $Z$, the internal energy $U$, the specific heat $C_h$ and the average magnetisation $m$ for the one-dimensional lattice and square lattices with dimensions $2 \\times 2$, $3 \\times 3$, $4 \\times 4$ as functions of temperature. Computations for the parameters $N=16$ and $h/J \\in \\{0, 1/2, 1\\}$ are performed and then the thermodynamic quantities are plotted."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def generate_nn_array(N, D):\n",
" \"\"\"Generate array of nearest neighbour (nn) indices.\n",
" D=1: This is pretty straightforward, spin i interacts with spin i+1 mod N\n",
" D=2: This is a bit trickier. Even though we have two dimensions, we\n",
" represent our grid as a one dimensional array (a vector). The grid may be\n",
" written as (for a 3x3 lattice, the number is the index of the array:\n",
"\n",
" 6 7 8\n",
" 3 4 5\n",
" 0 1 2\n",
"\n",
" This means that we need an N x 2 array which contains the indices of the\n",
" nn in the positive x and y directions. For instance, nn[1, 0] should be \n",
" equal to 1, nn[0, 1] should be equal to 3.\n",
"\n",
" :N: number of lattice sites in total (not linear size)\n",
" :D: lattice dimension (if D=2, make sure N is a perfect square)\n",
" :returns: nn array (number of sites, direction 0:+ 1:-)\n",
" \"\"\"\n",
" nns = np.zeros((N, D), dtype=int)\n",
" if D == 1:\n",
" nns[:, 0] = [(i+1)%N for i in range(N)]\n",
" elif D == 2:\n",
" stride = int(np.sqrt(N))\n",
" for i in range(N):\n",
" nns[i, 0] = (i+1)%stride + np.floor(i/stride)*stride\n",
" nns[i, 1] = (i+stride)%N\n",
" else:\n",
" print('D not supported')\n",
" return None\n",
" return nns\n",
"\n",
"\n",
"def hamiltonian(conf, J, h, nns, N, D):\n",
" \"\"\"Calculate the Hamiltonian for a given configuration by looping over each\n",
" lattice site and calculating s_i*s_j for each nearest neighbor, as well as\n",
" the external field contribution h.\n",
"\n",
" :conf: array of a spin configuration\n",
" :returns: value of H\n",
" \"\"\"\n",
" H = 0.\n",
" for i in range(N):\n",
" for j in range(D):\n",
" # --- nn term in direction j\n",
" H += -J * conf[i] * conf[nns[i, j]]\n",
" # --- external field contribution\n",
" H += -h*conf[i]\n",
" return H\n",
"\n",
"\n",
"def compute_quantities(N=4, D=2, J=1., h=0.5, nt=201, ts=0.5, te=5.):\n",
" \"\"\"Compute the thermodynamic quantities.\n",
" :N: number of lattice sites\n",
" :D: number of dimensions (1 & 2 supported)\n",
" :J: coupling strength\n",
" :h: external magnetic field strength\n",
" :nt: number of temperature steps\n",
" :ts: start temperature\n",
" :te: end temperature\n",
" :returns: a tuple containing the thermodynamic quantities\n",
" (temps, lnZ, Ch, U, mag).\n",
" \"\"\"\n",
" nns = generate_nn_array(N, D)\n",
"\n",
" # --- Initialize arrays for measurements\n",
" temps = np.linspace(ts, te, num=nt, endpoint=True)\n",
" lnZ = np.zeros(nt)\n",
" mag = np.zeros(nt)\n",
" U = np.zeros(nt)\n",
" Ch = np.zeros(nt)\n",
" \n",
" # --- Start clock for timing\n",
" st = time.time()\n",
"\n",
" # --- Create all possible configurations of +- spins on N sites.\n",
" # --- it.product is a function from the itertools package that creates an iterable\n",
" # --- (an object that can be looped over) which successively creates all possible\n",
" # --- combinations of +-1\n",
" configurations = it.product([1, -1], repeat=N)\n",
" # --- Loop over configurations\n",
" for c in configurations:\n",
" # --- Calculate the value of H\n",
" ham = hamiltonian(c, J, h, nns, N, D)\n",
" # --- Loop over temperatures\n",
" # for i, t in enumerate(temps):\n",
" # --- Calculate contribution to the partition function and observables\n",
" # --- from the given configuration and add to the appropriate arrays.\n",
" # --- Here we use vector operations, as it is more effective.\n",
" bman = np.exp(-ham/temps)\n",
" lnZ += bman\n",
" # --- \n",
" U += ham*bman\n",
" # --- \n",
" Ch += ham**2*bman\n",
" # --- \n",
" mag += sum(c)*bman\n",
"\n",
" runtime = (time.time() - st)/len(temps)\n",
" print('Average of {0:4.3f} s per temp iteration.'.format(runtime))\n",
"\n",
" # --- Normalize results\n",
" mag /= (lnZ*N)\n",
" U /= lnZ\n",
" Ch = (Ch/lnZ-U**2)/temps**2/N\n",
" U /= N\n",
" lnZ = np.log(lnZ)\n",
" \n",
" return (temps, lnZ, Ch, U, mag)\n",
"\n",
"\n",
"def generate_plots(N=4, D=2, nt=201, ts=0.5, te=5.):\n",
" \"\"\"Compute and plot the thermodynamic quantities for h/J = 0, 0.5 and 1.\n",
" \"\"\" \n",
" fig = plt.figure(figsize=(16, 10)) \n",
" fig.suptitle('Parameters: D = {0}, N = {1}'.format(D, N), y=1.0)\n",
" ax1 = fig.add_subplot(221)\n",
" ax2 = fig.add_subplot(223)\n",
" ax3 = fig.add_subplot(222)\n",
" ax4 = fig.add_subplot(224)\n",
" \n",
" J = 1.0\n",
" h_values = [0.0, 0.5, 1.0]\n",
" \n",
" for h in h_values:\n",
" (temps, lnZ, Ch, U, mag) = compute_quantities(N, D, J, h, nt, ts, te)\n",
" \n",
" ax1.plot(temps, lnZ)\n",
" ax1.set_ylabel(r'$\\ln Z$')\n",
" ax1.set_xlabel(r'$k_B T$')\n",
"\n",
" ax2.plot(temps, U)\n",
" ax2.set_ylabel(r'$U$')\n",
" ax2.set_xlabel(r'$k_B T$')\n",
" \n",
" ax3.plot(temps, Ch)\n",
" ax3.set_ylabel(r'$C_h$')\n",
" ax3.set_xlabel(r'$k_B T$')\n",
"\n",
" ax4.plot(temps, mag)\n",
" ax4.set_xlabel(r'$k_B T$')\n",
" ax4.set_ylabel(r'$\\langle m \\rangle$')\n",
"\n",
" legend_info = ['h = {0}'.format(h) for h in h_values]\n",
" ax1.legend(legend_info)\n",
" ax2.legend(legend_info, loc='lower right')\n",
" ax3.legend(legend_info)\n",
" ax4.legend(legend_info)\n",
" fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average of 0.010 s per temp iteration.\n",
"Average of 0.009 s per temp iteration.\n",
"Average of 0.009 s per temp iteration.\n",
"Average of 0.011 s per temp iteration.\n",
"Average of 0.011 s per temp iteration.\n",
"Average of 0.011 s per temp iteration.\n",
"Program runtime: 12.46 s.\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"start_time = time.time()\n",
"\n",
"generate_plots(N=16, D=1)\n",
"generate_plots(N=16, D=2)\n",
"\n",
"print(\"Program runtime: %.5s s.\" % (time.time() - start_time))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The observant reader may have noticed that these values of $k_B T$ correspond to ridiculously high temperatures.\n",
"There is no need to worry though, as in a more realistic situation, the Hamiltonian would typically be scaled by a factor with order of magnitude comparable to that of the Bohr magneton $\\mu_B = 9.27 \\times 10^{-24} \\mathrm{J/T}$.\n",
"We discover that the specific heat has a distinct peak at low temperatures that gets shifted to the right as $h$ increases. This type of peak is in general referred to as a *Schottky anomaly* [5]. The anomaly occurs because of the energy gap between the ground state and the first excited state: \n",
"\n",
"Let $\\Delta E$ denote the size of this energy gap. At low temperatures $k_B T \\ll \\Delta E$, the thermal energy is not large enough to overcome the energy gap $\\implies$ few energy states available $\\implies$ small $C_h$. When $k_B T \\sim \\Delta E$, there is a sudden increase in the number of available energy states, hence a sudden increase in $C_h$. The specific heat will decline again as the temperature rises further due to the factor $1/k_B T^2$ and the finite number of energy states, resulting in the observed peak. When we increase $h$, we also increase the energy gap and the peak gets shifted towards higher temperatures. This explains the trend we observe in the plots. \n",
"\n",
"The specific heat goes to zero in the extreme limits of the temperature. There is only one available energy state in the limit $T \\to 0$, namely the ground state, which implies that there are no energy fluctuations and therefore $C_h = 0$. When $T$ approaches infinity, the spins will gradually become more randomly oriented, and the magnetisation and the internal energy will therefore approach zero. The rates at which $U$ and $m$ change with respect to $T$ also drop at higher temperatures, because the randomness of the spins becomes less sensitive to changes in $T$ as the temperature gets very high. \n",
"Another expression for the specific heat is $C_h = \\frac{\\partial \\langle E \\rangle}{\\partial T}$, and we thus see that $C_h \\to 0$ as $T \\to \\infty$. At first glance it might seem counterintuitive that the internal energy goes to zero as $T \\to \\infty$, but remember that we do not take into account any forms of kinetic energy."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### The specific heat $C_h$ in the 1D and 2D model\n",
"Furthermore, we let $h = 0$ and investigate the computed values of $C_h$ in both the one-dimensional and the two-dimensional case for $N \\in \\{4, 9, 16\\}$."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average of 0.000 s per temp iteration.\n",
"Average of 0.000 s per temp iteration.\n",
"Average of 0.000 s per temp iteration.\n",
"Average of 0.000 s per temp iteration.\n",
"Average of 0.009 s per temp iteration.\n",
"Average of 0.011 s per temp iteration.\n",
"Program runtime: 3.900 s.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"start_time = time.time()\n",
"\n",
"fig = plt.figure(figsize=(10, 5))\n",
"N_values = [4, 9, 16]\n",
"\n",
"for N in N_values:\n",
" (temps, lnZ, Ch, U, mag) = compute_quantities(N, D=1, J=1.0, h=0, ts=0.1, te=6.0)\n",
" plt.plot(temps, Ch, '--')\n",
" (temps, lnZ, Ch, U, mag) = compute_quantities(N, D=2, J=1.0, h=0, ts=0.1, te=6.0)\n",
" plt.plot(temps, Ch)\n",
" \n",
"plt.xlabel('$k_B T$')\n",
"plt.ylabel('$C_h$')\n",
"plt.title('Specific heat')\n",
"legend_info = ['N = {0}, D = {1}'.format(N, D) for N in N_values for D in [1, 2]]\n",
"plt.legend(legend_info)\n",
"print(\"Program runtime: %.5s s.\" % (time.time() - start_time))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The peaks in the 2D model occur at higher temperatures than in the 1D model. This can be explained as follows: There are more nearest neighbour spins in the 2D model, which means that it takes more energy to flip a spin, increasing the energy gap between the ground state and the first excited state. \n",
"\n",
"As a final note, we recommend that you use a compiled language for computations involving larger numbers of spins $N$ (provided that you are going to stick with this method), as the calculations become more computationally demanding. Solutions for both the 1D and the 2D Ising model implemented in Fortran can be found here: \n",
"\n",
"\n",
"\n",
"Another approach would be the use of Monte Carlo methods, which is certainly more feasible for larger lattices."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### References\n",
"\n",
"[1] Wikipedia [*Ising model*](https://en.wikipedia.org/wiki/Ising_model) (Acquired April 20th 2016)\n",
"\n",
"[2] Homework 3 TFY4230 Statistical Physics, Spring 2016. [http://web.phys.ntnu.no/~asudbo/TFY4230_2016/Oving3.pdf](http://web.phys.ntnu.no/~asudbo/TFY4230_2016/Oving3.pdf) (Acquired March 1st 2016)\n",
"\n",
"[3] Youtube [*Ben Miller experiments with superfluid helium - Horizon: What is One Degree? - BBC Two*](https://www.youtube.com/watch?v=9FudzqfpLLs) (Visited April 20th 2016)\n",
"\n",
"[4] Jens O. Andersen, *Introduction to Statistical Mechanics*, 1st Edition, 2012, Akademika Forlag.\n",
"\n",
"[5] R. K. Pathria & P. D. Beale, *Statistical Mechanics*, 3rd Edition, 2011, Butterworth–Heinemann, p. 79."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Appendix\n",
"\n",
"\n",
"#### Modified Bessel function\n",
"We have the following recursion relation between modified Bessel functions of the first kind and order $n$, $I_n(x)$\n",
"\n",
"\\begin{align*}\n",
"x\\frac{dI_n(x)}{dx} + nI_n(x) &= xI_{n-1}(x) \\\\\n",
"\\frac{dI_0(x)}{dx} &= I_1(x).\n",
"\\end{align*}\n",
"\n",
"Furthermore, we have the series representations of $I_0(x)$ and $I_1(x)$\n",
"\n",
"\\begin{align*}\n",
"I_0(x) &= \\sum\\limits_{k=0}^{\\infty} \\frac{\\left(\\frac{x}{2}\\right)^{2k}}{(k!)^2} \\\\\n",
"I_1(x) &= \\sum\\limits_{k=0}^{\\infty} \\frac{\\left(\\frac{x}{2}\\right)^{2k+1}}{(k!)(k+1)!}.\n",
"\\end{align*}\n",
"\n",
"### Acknowledgements\n",
"This notebook was based on a numerical exercise in the course TFY4230 Statistical Mechanics at NTNU (2016). \n",
"Special thanks go to Prof. Asle Sudbø for letting us use his exercise and to PhD. student Peder N. Galteland for the Python code."
]
}
],
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"language": "python",
"name": "python3"
},
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