Lennard-Jones binary mixture: a thermodynamical approach to glass transition

TL;DR

This paper investigates the liquid-glass transition in a Lennard-Jones binary mixture using thermodynamic and replica methods, identifying the Kauzmann temperature and comparing analytical and numerical results.

Contribution

It introduces a thermodynamic approach to analyze the glass transition in a Lennard-Jones mixture using replica theory, providing new insights into the entropy crisis.

Findings

Kauzmann temperature estimated at ~0.32

Thermodynamic and replica methods successfully applied

Analytical predictions align with numerical data

Abstract

We study the liquid-glass transition of the Lennard-Jones binary mixture introduced by Kob and Andersen from a thermodynamic point of view. By means of the replica approach, translating the problem in the study of a molecular liquid, we study the phase transition due to the entropy crisis and we find that the Kauzmann's temperature $\tk$ is $\sim 0.32$. At the end we compare analytical predictions with numerical results.