Dynamic Monte Carlo Measurement of Critical Exponents

TL;DR

This paper introduces a new, efficient Monte Carlo method for measuring static and dynamic critical exponents in the 2D Ising model, based on early-time dynamics, yielding results consistent with prior studies.

Contribution

The paper presents a novel early-time dynamic Monte Carlo approach for critical exponent measurement, improving efficiency and accuracy over traditional methods.

Findings

Results agree with existing critical exponent values.

Method is efficient due to early-stage measurement.

Applicable to two-dimensional Ising model.

Abstract

Based on the scaling relation for the dynamics at the early time, a new method is proposed to measure both the static and dynamic critical exponents. The method is applied to the two dimensional Ising model. The results are in good agreement with the existing results. Since the measurement is carried out in the initial stage of the relaxation process starting from independent initial configurations, our method is efficient.