The thermodynamical liquid-glass transition in a Lennard-Jones binary mixture

TL;DR

This paper investigates the thermodynamic liquid-glass transition in a Lennard-Jones binary mixture, rederiving key results without replicas and identifying a phase transition driven by an entropy crisis.

Contribution

It presents a replica-free derivation of the liquid-glass transition and applies it to the Kob-Andersen binary mixture, calculating the transition point and specific heat.

Findings

Identification of a phase transition due to entropy crisis

Analytical and numerical determination of the transition temperature T_K

Calculation of specific heat in the low-temperature phase

Abstract

We use the results derived in the framework of the replica approach to study the liquid-glass thermodynamic transition. The main results are rederived without using replicas and applied to the study of the Lennard-Jones binary mixture introduced by Kob and Andersen. We find that there is a phase transition due to the entropy crisis. We compute both analytically and numerically the value of the phase transition point $T_{K}$ and the specific heat in the low temperature phase.