Relaxation-to-creep transition of domain-wall motion in two- dimensional random-field Ising model with ac driving field
N.J. Zhou, B. Zheng, D.P. Landau

TL;DR
This study uses Monte Carlo simulations to analyze the relaxation dynamics and roughening of domain walls in a 2D random-field Ising model under ac driving, revealing critical scaling behaviors and surface effects.
Contribution
It provides new insights into the dynamic scaling and roughening processes of domain walls in disordered magnetic systems with ac fields.
Findings
Identification of dynamic roughening during relaxation
Scaling laws governing domain-wall motion
Comparison of surface and bulk relaxation behaviors
Abstract
With Monte Carlo simulations, we investigate the relaxation dynamics with a domain wall for magnetic systems at the critical temperature. The dynamic scaling behavior is carefully analyzed, and a dynamic roughening process is observed. For comparison, similar analysis is applied to the relaxation dynamics with a free or disordered surface
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