Maximum Valency Lattice Gas Models

TL;DR

This paper investigates lattice gas models with a maximum bond constraint, analyzing how limiting interactions affects phase coexistence and critical parameters through theoretical approximations and Monte Carlo simulations.

Contribution

It introduces maximum valency constraints into lattice gas models and systematically studies their effects on phase behavior using multiple methods.

Findings

Reducing maximum bonds suppresses liquid-gas coexistence region.

Mean field and Bethe-Peierls approximations agree with simulation results.

Maximum valency constraints influence critical temperature and density.

Abstract

We study lattice gas models with the imposition of a constraint on the maximum number of bonds (nearest neighbor interactions) that particles can participate in. The critical parameters, as well as the coexistence region are studied using the mean field approximation and the Bethe-Peierls approximation. We find that the reduction of the number of interactions suppresses the temperature-density region where the liquid and gas phases coexist. We confirm these results from simulations using the histogram reweighting method employing grand Canonical Monte Carlo simulations.