Mean field theory for driven domain walls in disordered environments

TL;DR

This paper investigates the critical dynamics of driven domain walls in disordered media using mean field theory, analyzing depinning transitions under constant and oscillating forces through analytical and numerical methods.

Contribution

It introduces a detailed mean field model for driven domain walls and explores their critical behavior near depinning transitions with new analytical and numerical insights.

Findings

Power-law scaling of velocity near depinning

Hysteresis loop area exhibits critical scaling

Differences between constant and oscillating driving forces

Abstract

We study the mean field equation of motion for driven domain walls in random media. We discuss the two cases of an external constant as well as an oscillating driving force. Our main focus lies on the critical dynamics close to the depinning transition, which we study by analytical and numerical methods. We find power-law scaling for the velocity as well as the hysteresis loop area.