Influence of the temperature on the depinning transition of driven interfaces

TL;DR

This paper investigates how temperature influences the depinning transition of driven interfaces in a 2D random-field Ising model, using finite size and temperature scaling to determine critical exponents.

Contribution

It provides the first analysis of the velocity of a driven interface near depinning at finite temperatures using finite size scaling methods.

Findings

Critical exponent beta = 1/3 for velocity dependence on driving field

Correlation length exponent nu = 1

Velocity dependence on temperature with delta = 5

Abstract

We study the dynamics of a driven interface in a two-dimensional random-field Ising model close to the depinning transition at small but finite temperatures T using Glauber dynamics. A square lattice is considered with an interface initially in (11)-direction. The drift velocity v is analyzed for the first time using finite size scaling at T = 0 and additionally finite temperature scaling close to the depinning transition. In both cases a perfect data collapse is obtained from which we deduce beta = 1/3 for the exponent which determines the dependence of v on the driving field, nu = 1 for the exponent of the correlation length and delta = 5 for the exponent which determines the dependence of v on T.