2D Ising · FK Random Cluster · Cardy Crossing · Critical Exponents
Parameters
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Observables
Magnetization |m|—
Energy ε/J—
Susceptibility χ—
Largest cluster—
Crossing prob P—
T_c(2D Ising) = 2J/ln(1+√2) ≈ 2.269J
FK random cluster model: bonds activated with p=1−e^(−2J/T). Clusters = spin domains. At T_c, cluster size ~ N^(91/48). Cardy formula gives crossing probability in terms of ₂F₁. Critical exponents: β=1/8, γ=7/4, ν=1.