Maximum valency lattice gas models

Abstract

We study lattice gas models with the imposition of a constraint on the maximum numberof bonds (nearest-neighbour interactions) that particles can participate in. The criticalparameters, as well as the coexistence region, are studied using the mean fieldapproximation and the Bethe–Peierls approximation. We find that the reduction ofthe number of interactions suppresses the temperature–density region where theliquid and gas phases coexist. We confirm these results from simulations using thehistogram reweighting method employing grand canonical Monte Carlo simulations.