3D Ising Model — Cubic Lattice

Metropolis Monte Carlo on 20×20×20 lattice; T_c ≈ 4.51 J/k_B for simple cubic

|M|: -- Energy/spin: -- T_c ≈ 4.51 Phase: --
About: The 3D Ising model has a true phase transition at T_c ≈ 4.5115 J/k_B (simple cubic, Padé approximant). Unlike 2D, no exact solution exists. The critical exponents are β≈0.326, γ≈1.237, ν≈0.630. The 2D slice shows spin up (bright purple) vs spin down (dark). The right panel tracks |magnetization| and energy per spin over time.