q-State Potts Model

Dominant state frac:
T_c(q=2) = 1.135 J/k
T_c(q=4) ≈ 0.910 J/k
q>4: 1st order transition
q-state Potts model: H = -J Σ δ(s_i, s_j). Each spin takes q values. Metropolis dynamics. For q≤4: continuous (2nd order) transition. For q>4: first-order (discontinuous) transition with latent heat. Domain walls form between different-state regions.