Generalized Dynamic Scaling for Critical Magnetic Systems

TL;DR

This paper investigates the short-time critical dynamics of magnetic systems using Monte Carlo simulations, confirming a generalized scaling form and highlighting differences in initial magnetization functions between models.

Contribution

It introduces a generalized scaling framework for short-time dynamics in magnetic systems and compares initial magnetization functions across models.

Findings

Confirmed the generalized scaling form for critical dynamics.

Identified differences in initial magnetization functions between Ising and Potts models.

Demonstrated the applicability of Monte Carlo methods to short-time critical behavior.

Abstract

The short-time behaviour of the critical dynamics for magnetic systems is investigated with Monte Carlo methods. Without losing the generality, we consider the relaxation process for the two dimensional Ising and Potts model starting from an initial state with very high temperature and arbitrary magnetization. We confirm the generalized scaling form and observe that the critical characteristic functions of the initial magnetization for the Ising and the Potts model are quite different.