The short-time Dynamics of the Critical Potts Model

TL;DR

This paper investigates the early-time critical dynamics of the 2D three-state Potts model using Monte Carlo simulations, determining key dynamic exponents and observing initial order growth.

Contribution

It provides new measurements of the dynamic exponent θ and confirms the short spatial correlation length during early evolution.

Findings

Initial order increase observed at criticality

Dynamic exponents θ, z, and β/ν determined

Short spatial correlation length during early dynamics

Abstract

The universal behaviour of the short-time dynamics of the three state Potts model in two dimensions at criticality is investigated with Monte Carlo methods. The initial increase of the order is observed. The new dynamic exponent $\theta$ as well as exponent $z$ and $\beta/\nu$ are determined. The measurements are carried out in the very beginning of the time evolution. The spatial correlation length is found to be very short compared with the lattice size.