Equation of state for hard square lattice gases

Abstract

A simple equation of state for a lattice gas of hard squares of side length $\lambda$ is presented. Comparing to the Monte Carlo simulations, the new equation of state is found to be quite accurate for the disordered fluid phase.

References in corpus (6)

• Monte Carlo simulations of 2d hard core lattice gases
• Glass transition in granular media
• A density functional theory for general hard-core lattice gases
• Phase behavior of hard-core lattice gases: A Fundamental Measure approach
• Lattice Models of Ionic Systems with Charge Asymmetry
• Entropy for relaxation dynamics in granular media

Cited by in corpus (13)

• Multiple Phase Transitions in Extended Hard Core Lattice Gas Models in Two Dimensions
• Modelling the evaporation of thin films of colloidal suspensions using Dynamical Density Functional Theory
• Stability of columnar order in assemblies of hard rectangles or squares
• Phase Transitions in Hardcore Lattice Gases on the Honeycomb Lattice
• Liquid-Hextic-Solid Phase Transition of a Hard-Core Lattice Gas with Third Neighbor Exclusion
• Bulk diffusion in a kinetically constrained lattice gas
• Estimating the Critical Parameters of the Hard Square Lattice Gas Model
• Glassy dynamics and hysteresis in a linear system of orientable hard rods
• Response of Hydrogels and Microgels to Nanoparticle Crowding
• Growth rate of 3D heaps of pieces
• Thermodynamics of interacting hard rods on a lattice
• The 1-vertex transfer matrix and accurate estimation of channel capacity
• Hard Squares for z = -1