Numerical Approaches on Driven Elastic Interfaces in Random Media

TL;DR

This paper reviews numerical methods for studying the universal behavior of driven elastic interfaces in random media, focusing on their geometry and transport properties across different regimes, with implications for domain wall experiments.

Contribution

It introduces specialized numerical algorithms to analyze equilibrium, creep, and depinning regimes in minimal models of elastic interfaces in quenched disorder.

Findings

Numerical algorithms effectively analyze different motion regimes.

Results relate interface geometry to transport properties.

Implications for experimental domain wall studies.

Abstract

We discuss the universal dynamics of elastic interfaces in quenched random media. We focus in the relation between the rough geometry and collective transport properties in driven steady-states. Specially devised numerical algorithms allow us to analyze the equilibrium, creep, and depinning regimes of motion in minimal models. The relevance of our results for understanding domain wall experiments is outlined.