Magnetization reversal times in the 2D Ising model

TL;DR

This paper develops a theoretical framework to predict the timescales of magnetization reversal in the 2D Ising model and validates it against extensive simulation data, achieving good agreement.

Contribution

It introduces a general theoretical approach for activated process timescales and applies it specifically to magnetization reversal in the 2D Ising model, with validation.

Findings

Theoretical predictions match simulation results within 20%.

Reversal times span over five orders of magnitude.

Framework is broadly applicable to Brownian systems.

Abstract

We present a theoretical framework which is generally applicable to the study of time scales of activated processes in systems with Brownian type dynamics. This framework is applied to a prototype system: magnetization reversal times in the 2D Ising model. Direct simulation results for the magnetization reversal times, spanning more than five orders of magnitude, are compared with theoretical predictions; the two agree in most cases within 20%.