Ising Exact Solution

Settings

Temperature T/T_c: 1.00 System size L (MC): 30 Show exact curves: ON

Current State

T/T_c:—

|m| (MC):—

|m| (exact):—

E/N (MC):—

T_c = 2/ln(1+√2):2.2692

About

Onsager 1944: exact free energy of 2D Ising. Order parameter: m=(1−sinh(2J/kT)⁻⁴)^(1/8) for T<T_c (Yang 1952). Specific heat diverges logarithmically: C~−ln|1−T/T_c|. Critical exponents: β=1/8, α=0 (log), γ=7/4, ν=1, η=1/4.