Driven Random Field Ising Model: some exactly solved examples in threshold activated kinetics
Abstract
The random field Ising model driven by a slowly varying uniform external field at zero temperature provides a caricature of several threshold activated systems. In this model, the non-equilibrium response of the system can be obtained analytically on a Bethe lattice if the initial state of the system has all spins aligned parallel to each other. We consider ferromagnetic as well as anti-ferromagnetic interactions. The ferromagnetic model exhibits avalanches and non-equilibrium critical behavior. The anti-ferromagnetic model is marked by the absence of these features. The ferromagnetic model is Abelian, and the anti-ferromagnetic model is non-Abelian. Theoretical approaches based on the probabilistic method are discussed in the two cases, and illustrated by deriving some basic results.
Cite
@article{arxiv.cond-mat/0401252,
title = {Driven Random Field Ising Model: some exactly solved examples in threshold activated kinetics},
author = {Prabodh Shukla},
journal= {arXiv preprint arXiv:cond-mat/0401252},
year = {2009}
}
Comments
Invited talk at the Discussion Meeting on Statistical Mechanics of Threshold Activated Systems, IMSc, Chennai, India, (March, 2003)