Search: ising

3 results

Statistical Mechanics 1

  Equilibrium Monte Carlo simulation of the 2D Ising model

magnetism, metropolis, equilibrium, autocorrelation, monte carlo, ising, spin

Using the Metropolis algorithm to approximate the magnetization and specific heat for a 2D Ising lattice.

Mechanics 1

  Stabilising an Inverted Pendulum on a Cart

4th order runge-kutta, system of equations, animation

The 4th order Runge-Kutta method was used to integrate the equations of motion for the system, then the pendulum was stabilised on its inverted equilibrium point using a proportional gain controller and linear quadratic regulator.

Statistical Mechanics 1

  Ising Model in 1D and 2D

specific heat, partition function, magnetism, spin

Computing the internal energy, specific heat and magnetisation in the 1D and 2D Ising model. An analytical solution to the XY model is also provided.