magnetism, spin, monte carlo, fortran, f2py, metropolis, equilibrium, autocorrelation, ising
Using the Metropolis algorithm to approximate the magnetization and specific heat for a 2D Ising lattice.
animation, 4th order runge-kutta, system of equations
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.