Reading this result: Right at the critical point (T_c ≈ 2.27): order and disorder are in balance. Correlated clusters appear at every length scale — the hallmark critical fluctuations of a second-order phase transition.
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The 2D Ising model is simulated with the Metropolis Monte Carlo algorithm: spins flip with a probability set by the energy change and temperature. It exhibits a genuine phase transition at the critical temperature (≈ 2.27 J/k_B) — a cornerstone of statistical mechanics you can watch happen live.
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