The 2D Ising Model Monte Carlo Simulation Using the Metropolis Algorithm
The 2D Ising Model Monte Carlo Simulation Using the Metropolis Algorithm
This Demonstration provides insight into the Monte Carlo algorithm for the 2D Ising model, a 2D system of lattice spins coupled by nearest neighbor interactions. One can visualize how this powerful numerical tool can generate spin configurations and calculate statistical averages for such a system, thus demonstrating the whole range of possible Ising model states: ferromagnetic, anti-ferromagnetic, and non-interacting spins cases.
This Demonstration will explain Monte Carlo simulations with the use of the Metropolis algorithm. It also examines the notion of convergence times and the process of achieving thermal equilibrium.