Corrections to scaling in the dynamic approach to the phase transition with quenched disorder

TL;DR

This paper uses dynamic Monte Carlo simulations to study the phase transition in a 3D disordered Potts model, introducing a technique to handle scaling corrections and accurately determining critical exponents.

Contribution

It proposes a new method to address strong corrections to scaling in dynamic simulations of disordered systems and provides precise estimates of critical exponents.

Findings

Critical point accurately determined

Static exponents $eta$ and $ u$ measured

Dynamic exponent $z$ estimated

Abstract

With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling form. The critical point, static exponents $\beta$ and $\nu$, and dynamic exponent $z$ are accurately determined. Particularly, the results support that the exponent $\nu$ satisfies the lower bound $\nu \geqslant 2/d$.