Lattice Gas Analogue Of SK Model: A paradigm for the glass transition

TL;DR

This paper explores the relationship between the SK spin glass model and a lattice gas analogue, analyzing their thermodynamics and replica symmetry breaking to understand the glass transition.

Contribution

It introduces a lattice gas analogue of the SK model and investigates its thermodynamic properties and replica symmetry breaking effects.

Findings

Replica symmetric approximation stability varies with temperature

First order replica symmetry breaking occurs at zero temperature

Results suggest relevance to structural glass transition

Abstract

We investigate the connection between the well known Sherrington-Kirkpatrick Ising Spin Glass and the corresponding Lattice Gas model by analyzing the relation between their thermodynamical functions. We present results of replica approach in the Replica Symmetric approximation and discuss its stability as a function of temperature and external source. Next we examine the effects of first order Replica Symmetry Breaking at zero temperature. We finally compare SK results with ours and suggest how the latter could be relevant to a description of the structural glass transition.