Domain wall roughening in disordered media: From local spin dynamics to a continuum description of the interface

TL;DR

This paper investigates the roughening behavior of driven domain walls in disordered media, developing a continuum model to understand their scaling properties through theoretical analysis.

Contribution

It introduces a continuum equation of motion for the domain wall, linking local spin dynamics to interface roughening in disordered systems.

Findings

Derived a continuum description of domain wall dynamics

Analyzed the scaling behavior of the interface

Provided insights into the roughening process in disordered media

Abstract

We study the kinetic roughening of a driven domain wall between spin-up and spin-down domains for a model with non-conserved order parameter and quenched disorder. To understand the scaling behavior of this interface we construct an equation of motion and study it theoretically.