Creep motion of a domain wall in the two-dimensional random-field Ising model with a driving field

TL;DR

This study uses Monte Carlo simulations to analyze the creep motion of domain walls in a 2D random-field Ising model, revealing how disorder influences key exponents and the universality class of the motion.

Contribution

It provides the first detailed numerical analysis of the creep dynamics and critical exponents in the 2D random-field Ising model with a driving field.

Findings

The nonlinear field-velocity relation was characterized.

Creep exponent {} was determined.

Exponents depend on disorder strength.

Abstract

With Monte Carlo simulations, we study the creep motion of a domain wall in the two-dimensional random-field Ising model with a driving field. We observe the nonlinear fieldvelocity relation, and determine the creep exponent {\mu}. To further investigate the universality class of the creep motion, we also measure the roughness exponent {\zeta} and energy barrier exponent {\psi} from the zero-field relaxation process. We find that all the exponents depend on the strength of disorder.