Monte Carlo Measurement of the Global Persistence Exponent

TL;DR

This paper investigates the scaling behavior of persistence probability in critical dynamics of 2D Ising and Potts models using Monte Carlo methods, focusing on initial magnetization effects and confirming universality of the global persistence exponent.

Contribution

It provides the first Monte Carlo measurement of the global persistence exponent in 2D Ising and Potts models, analyzing the influence of initial magnetization and confirming universality.

Findings

Global persistence exponent measured for Ising and Potts models

Universality of the persistence exponent confirmed

Dependence on initial magnetization analyzed

Abstract

The scaling behaviour of the persistence probability in the critical dynamics is investigated with both the heat-bath and the Metropolis algorithm for the two-dimensional Ising model and Potts model. Special attention is drawn to the dependence on the initial magnetization. The global persistence exponent is measured. Universality is confirmed.