Ising Dynamics with Damping

TL;DR

This paper introduces a discrete-time stochastic model for the Ising system with adjustable damping, accurately capturing equilibrium and nonequilibrium phenomena, and revealing how damping influences hysteresis and avalanche behaviors.

Contribution

It presents a novel Langevin-like discrete model for the Ising system that incorporates arbitrary damping and explores its effects on critical phenomena and avalanches.

Findings

Damping significantly alters hysteresis loop shapes.

Small damping and high disorder change avalanche morphology.

Damping affects avalanche size distribution at criticality.

Abstract

We show for the Ising model that is possible construct a discrete time stochastic model analogous to the Langevin equation that incorporates an arbitrary amount of damping. It is shown to give the correct equilibrium statistics and is then used to investigate nonequilibrium phenomena, in particular, magnetic avalanches. The value of damping can greatly alter the shape of hysteresis loops, and for small damping and high disorder, the morphology of large avalanches can be drastically effected. Small damping also alters the size distribution of avalanches at criticality.