Generalized Dynamic Scaling for Critical Relaxations

TL;DR

This paper investigates the universal scaling behavior during the critical relaxation of the 2D Potts model, introducing a critical characteristic function to describe initial magnetization dependence, revealing new insights into short-time dynamics.

Contribution

It introduces a generalized dynamic scaling framework for critical relaxations, including a novel characteristic function for initial magnetization effects.

Findings

Universal scaling behavior observed in short-time regime

Existence of a critical characteristic function for initial magnetization

Enhanced understanding of dynamic relaxation processes

Abstract

The dynamic relaxation process for the two dimensional Potts model at criticality starting from an initial state with very high temperature and arbitrary magnetization is investigated with Monte Carlo methods. The results show that there exists universal scaling behaviour even in the short-time regime of the dynamic evolution. In order to describe the dependence of the scaling behaviour on the initial magnetization, a critical characteristic function is introduced.