Article,
Planar lattice model with gas, liquid, and solid phases
Physical Review E, 59 (2): 1523--1539 (February 1999)
DOI: 10.1103/physreve.59.1523
Abstract
We treat a lattice gas model on the planar-honeycomb lattice with nearest-neighbor exclusion and two types of next-nearest-neighbor attraction. In the generalized Bethe approximation described in the previous paper, the model exhibits both a gas-liquid, Ising-like, phase transition (with a critical point) and a gas-solid phase transition. We show that the qualitative features of the activity-temperature gas/liquid/solid phase diagram found in the Bethe approximation are present in a more rigorous treatment of the model using exact series expansions.
