Glauber Dynamics — Ising Coarsening

Single-spin-flip dynamics at the critical temperature. Watch domains coarsen with ξ(t) ~ t^(1/2) growth law.

Temperature T/Tc 1.00 Grid size N 120 Speed (sweeps/frame) 5

m = —

P(flip) = 1/(1+e^{2JΔE/kT})

Glauber (1963): single-spin Metropolis rate satisfying detailed balance. At Tc=2J/ln(1+√2)≈2.269J, coarsening follows Allen-Cahn: ξ~t^{1/2}. Below Tc: phase-ordering; above: paramagnetic disorder.