Scaling behavior in the dynamics of a supercooled Lennard-Jones mixture

TL;DR

This study uses large-scale molecular dynamics simulations to analyze the relaxation dynamics of a supercooled Lennard-Jones mixture, confirming key predictions of mode-coupling theory.

Contribution

It provides detailed simulation data on supercooled liquids, demonstrating the temperature independence of certain relaxation exponents and validating theoretical models.

Findings

Intermediate scattering functions follow von Schweidler law at low temperatures.

Correlation functions exhibit Kohlrausch behavior with temperature-independent exponents.

Results support the mode-coupling theory of supercooled liquids.

Abstract

We present the results of a large scale molecular dynamics computer simulation of a binary, supercooled Lennard-Jones fluid. At low temperatures and intermediate times the time dependence of the intermediate scattering function is well described by a von Schweidler law. The von Schweidler exponent is independent of temperature and depends only weakly on the type of correlator. For long times the correlation functions show a Kohlrausch behavior with an exponent $\beta$ that is independent of temperature. This dynamical behavior is in accordance with the mode-coupling theory of supercooled liquids.