Application of exchange Monte Carlo method to ordering dynamics

TL;DR

This paper demonstrates the effectiveness of the exchange Monte Carlo method in simulating the ordering dynamics of the three-state Potts model, revealing rapid domain growth and a specific late-stage growth law.

Contribution

It introduces the application of exchange Monte Carlo to conserved order parameter dynamics, showing improved efficiency and characterizing the growth law in a three-component system.

Findings

Rapid domain growth observed even at low temperatures

Efficiency of exchange Monte Carlo confirmed for ordering process

Late-stage growth law identified as R(t) ~ t^{1/3}

Abstract

We apply the exchange Monte Carlo method to the ordering dynamics of the three-state Potts model with the conserved order parameter. Even for the deeply quenched case to low temperatures, we have observed a rapid domain growth; we have proved the efficiency of the exchange Monte Carlo method for the ordering process. The late-stage growth law has been found to be $R(t) \sim t^{1/3}$ for the case of conserved order parameter of three-component system.