Creep motion in a random-field Ising model

Details Creep motion in a random-field Ising model Creep motion in a random-field Ising model

2000-12-29

arxiv.org/abs/cond-mat/0012509v1

Physical Review E 63, 026113 (2001)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 11 figures, accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.63.026113

We analyze numerically a moving interface in the random-field Ising model which is driven by a magnetic field. Without thermal fluctuations the system displays a depinning phase transition, i.e., the interface is pinned below a certain critical value of the driving field. For finite temperatures the interface moves even for driving fields below the critical value. In this so-called creep regime the dependence of the interface velocity on the temperature is expected to obey an Arrhenius law. We investigate the details of this Arrhenius behavior in two and three dimensions and compare our results with predictions obtained from renormalization group approaches.

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