Response of random field Ising model driven by an external field

TL;DR

This paper investigates the zero-temperature 2D random-field Ising model's response to an external field, identifying a critical disorder strength where magnetization jumps abruptly and analyzing domain growth near criticality.

Contribution

It introduces the concept of a critical disorder strength causing a discontinuous magnetization jump and examines domain growth morphology at and away from this critical point.

Findings

Discontinuous magnetization jump at a critical disorder strength

Identification of a critical disorder value for phase transition

Analysis of domain growth patterns near criticality

Abstract

We study the dynamics of spin flipping at first order transitions in zero temperature two-dimensional random-field Ising model driven by an external field. We find a critical value of the disorder strength at which a discontinuous sharp jump in magnetization first occurs. We discuss growth morphology of the flipped-spin domains at and away from criticality.