Determination of the Critical Point and Exponents from short-time Dynamics

TL;DR

This paper demonstrates that the critical point and critical exponents of the 2D three-state Potts model can be accurately determined from short-time dynamic simulations, bypassing equilibrium analysis.

Contribution

It introduces a method to locate the critical point and measure critical exponents using short-time dynamics from Monte Carlo simulations.

Findings

Critical point can be located from short-time behaviour

Critical exponents β/(νz) and 1/(νz) are determined

Method is independent of equilibrium state

Abstract

The dynamic process for the two dimensional three state Potts model in the critical domain is simulated by the Monte Carlo method. It is shown that the critical point can rigorously be located from the universal short-time behaviour. This makes it possible to investigate critical dynamics independently of the equilibrium state. From the power law behaviour of the magnetization the exponents $\beta / (\nu z)$ and $1/ (\nu z)$ are determined.