Three-phase point in a binary hard-core lattice model?

Details Three-phase point in a binary hard-core lattice model? Three-phase point in a binary hard-core lattice model?

1999-03-25

arxiv.org/abs/cond-mat/9903378v1

Physical Review E 60, 2501 (1999)

Physics

Condensed Matter

Statistical Mechanics

17 pages, LaTeX2e, 13 EPS figures

Scientific paper

10.1103/PhysRevE.60.2501

Using Monte Carlo simulation, Van Duijneveldt and Lekkerkerker [Phys. Rev. Lett. 71, 4264 (1993)] found gas-liquid-solid behaviour in a simple two-dimensional lattice model with two types of hard particles. The same model is studied here by means of numerical transfer matrix calculations, focusing on the finite size scaling of the gaps between the largest few eigenvalues. No evidence for a gas-liquid transition is found. We discuss the relation of the model with a solvable RSOS model of which the states obey the same exclusion rules. Finally, a detailed analysis of the relation with the dilute three-state Potts model strongly supports the tricritical point rather than a three-phase point.

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