Short-time dynamics of the positional order of the two-dimensional hard disk system

TL;DR

This study examines the short-time dynamics and equilibrium behavior of a 2D hard disk system, providing evidence against both the Kosterlitz-Thouless-Halperin-Nelson-Young theory and first-order melting transitions.

Contribution

It offers new insights into the melting behavior of 2D hard disks by combining short-time dynamics with equilibrium simulations to challenge existing phase transition theories.

Findings

Melting density determined

Critical exponents z and eta measured

Results exclude predicted phase transition types

Abstract

We investigate the positional order of the two-dimensional hard disk model with short-time dynamics and equilibrium simulations. The melting density and the critical exponents z and eta are determined. Our results rule out a phase transition as predicted by the Kosterlitz-Thouless-Halperin-Nelson-Young theory as well as a first-order transition.