On Lattice Gas Models For Disordered Systems

TL;DR

This paper studies a lattice gas model with infinite-range Gaussian couplings, revealing a first-order liquid-gas transition and suggesting a possible glassy transition within the liquid phase, using replica symmetry analysis.

Contribution

It introduces a lattice gas analogue of the SK spin glass model and applies replica symmetry methods to analyze phase transitions in disordered systems.

Findings

First-order liquid-gas transition line identified

Replica Symmetry Breaking may lead to a glassy phase

Model extends spin glass concepts to lattice gas systems

Abstract

We consider a Lattice Gas model in which the sites interact via infinite-ranged random couplings independently distributed with a Gaussian probability density. This is the Lattice Gas analogue of the well known Sherrington-Kirkpatrick Ising Spin Glass. We present results of replica approach in the Replica Symmetric approximation. Even with zero-mean of the couplings a line of first order liquid-gas transitions occurs. Replica Symmetry Breaking should give up to a glassy transition inside the liquid phase.