A freezing transition in the lattice-gas model

Abstract

In the lattice-gas model, condensation of a gas to its liquid phase is identified as the long range ordering transition in the equivalent Ising model. The same model has a second percolation transition at a lower temperature, which is identified here as the freezing transition of the liquid to its solid phase. It predicts that the mass diffusion in a liquid should decay near the freezing point T_F ≈ (T-T_F)^t-β, where t is the conductivity exponent and β is the percolation probability exponent.