Chaotic Lattice - Gas Model

TL;DR

This paper introduces a chaotic lattice-gas model to study a two-phase system with random spatial distributions, analyzing its stability and statistical properties compared to traditional single-phase models.

Contribution

It presents a novel chaotic lattice-gas model for two-phase systems and investigates conditions for its thermodynamic stability over conventional models.

Findings

Chaotic lattice-gas model exhibits different stability conditions.

The model provides insights into phase intermixing and statistical behavior.

Potential for more stable configurations than pure systems.

Abstract

A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase filling a set of regions with random shapes and locations. A chaotic diffusion process intermixes these regions by varying their shapes and locations in a random way. To investigate the statistical properties of such a system, it is exemplified by a lattice-gas model. Conditions are analysed when this chaotic lattice-gas model can become thermodynamically more stable than the usual model describing a pure one-phase system.