Short-time behaviour of the two-dimensional hard-disk model

TL;DR

This paper studies the early-time dynamics of a 2D hard-disk system, measuring critical exponents and comparing molecular dynamics with Monte Carlo simulations to understand order relaxation.

Contribution

It provides new measurements of critical exponents for positional and bond orientational order using molecular dynamics and Monte Carlo methods.

Findings

Critical exponents eta and z determined for positional order.

Comparison of molecular dynamics and Monte Carlo results.

Insights into short-time relaxation behavior of 2D hard-disk model.

Abstract

Starting from the ordered state, we investigate the short-time behaviour of the hard-disk model. For the positional order, we determine the critical exponents eta and z from the dynamic relaxation of the order parameter and the cumulant with molecular dynamics simulations. The results are compared with previous Monte Carlo (MC) simulations. The bond orientational order is studied with MC dynamics.