The depinning transition of a driven interface in the random-field Ising model around the upper critical dimension
Statistical Mechanics
2009-11-07 v1
Abstract
We investigate the depinning transition for driven interfaces in the random-field Ising model for various dimensions. We consider the order parameter as a function of the control parameter (driving field) and examine the effect of thermal fluctuations. Although thermal fluctuations drive the system away from criticality the order parameter obeys a certain scaling law for sufficiently low temperatures and the corresponding exponents are determined. Our results suggest that the so-called upper critical dimension of the depinning transition is five and that the systems belongs to the universality class of the quenched Edward-Wilkinson equation.
Keywords
Cite
@article{arxiv.cond-mat/0207137,
title = {The depinning transition of a driven interface in the random-field Ising model around the upper critical dimension},
author = {L. Roters and S. Lubeck and K. D. Usadel},
journal= {arXiv preprint arXiv:cond-mat/0207137},
year = {2009}
}
Comments
accepted for publication in Phys. Rev. E