Blog #217: The Ising Model — Statistical Mechanics and Phase Transitions
Metropolis algorithm, Wolff cluster, Onsager's exact solution, critical exponents, finite-size scaling, and why Ising ≠ magnets.
The critical exponents are universal. A magnet, a liquid-gas system, and a binary alloy near their respective critical points all behave identically at long length scales — same β, γ, ν, η — because symmetry and dimensionality are all that matter.
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