Random-field Ising model on complete graphs and trees
Disordered Systems and Neural Networks
2009-11-07 v1 Soft Condensed Matter
Statistical Mechanics
Abstract
We present exact results for the critical behavior of the RFIM on complete graphs and trees, both at equilibrium and away from equilibrium, i.e., models for hysteresis and Barkhausen noise. We show that for stretched exponential and power law distributions of random fields the behavior on complete graphs is non-universal, while the behavior on Cayley trees is universal even in the limit of large co-ordination.
Keywords
Cite
@article{arxiv.cond-mat/0203194,
title = {Random-field Ising model on complete graphs and trees},
author = {R. Dobrin and J. H. Meinke and P. M. Duxbury},
journal= {arXiv preprint arXiv:cond-mat/0203194},
year = {2009}
}
Comments
4 pages, 4 figures