KINETIC ISING MODEL

Glauber Dynamics · Autocorrelation · Critical Slowing Down
T=Tc | m=0 | corr time τ=...
Glauber rate: P(flip) = 1/(1 + exp(2β·ΔE)). Critical temperature T_c = 2J/ln(1+√2) ≈ 2.269J. Near T_c: magnetization autocorrelation C(t) ~ exp(−t/τ) with τ ~ |T−T_c|^(−zν), z≈2.17 (dynamic exponent). Critical slowing down makes equilibration increasingly costly at the phase transition.