2D Ising Model — Metropolis Monte Carlo

Ferromagnetic Ising model on a square lattice. Metropolis algorithm samples the Boltzmann distribution. Critical temperature T_c = 2/ln(1+√2) ≈ 2.269 (Onsager 1944).

—|M|/N

—E/N

2.269T_c

—T

Temperature T 2.27 Grid size 40 Speed (sweeps/frame)