Onsager 2D Ising Solution
Exact Free Energy · Specific Heat Singularity · Spontaneous Magnetization
Temperature T/T_c
1.00
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MC Grid Size N
40
T_c = 2J/k_B · 1/ln(1+√2) ≈ 2.269 J/k_B
C ∝ −ln|1 − T/T_c| (log divergence)
m = (1 − sinh⁻⁴(2βJ))^(1/8) T < T_c
F = −NkT[ln(2coshK) + I(K)/π]