Phase ordering kinetics of the long-range Ising model

TL;DR

This paper introduces an efficient Monte Carlo simulation method for studying the phase ordering kinetics of the long-range Ising model, enabling faster and more accurate analysis of domain growth dynamics in two dimensions.

Contribution

The authors develop a faster simulation approach for long-range spin systems, improving upon traditional methods and confirming theoretical predictions for domain growth.

Findings

Simulation speed significantly improved over standard methods

Agreement with theoretical domain growth predictions established

Method applicable to other long-range systems

Abstract

We use an efficient method that eases the daunting task of simulating dynamics in spin systems with long-range interaction. Our Monte Carlo simulations of the long-range Ising model for the nonequilibrium phase ordering dynamics in two spatial dimensions erform significantly faster than the standard Metropolis approach and considerably more efficiently than the kinetic Monte Carlo method. Importantly, this enables us to establish agreement with the theoretical prediction for the time dependence of domain growth, in contrast to previous numerical studies. This method can easily be generalized to applications in other systems.