Disorder-induced critical behavior in driven diffusive systems
Statistical Mechanics
2009-10-31 v1
Abstract
Using dynamic renormalization group we study the transport in driven diffusive systems in the presence of quenched random drift velocity with long-range correlations along the transport direction. In dimensions we find fixed points representing novel universality classes of disorder-dominated self-organized criticality, and a continuous phase transition at a critical variance of disorder. Numerical values of the scaling exponents characterizing the distributions of relaxation clusters are in good agreement with the exponents measured in natural river networks.
Cite
@article{arxiv.cond-mat/9912248,
title = {Disorder-induced critical behavior in driven diffusive systems},
author = {Bosiljka Tadic},
journal= {arXiv preprint arXiv:cond-mat/9912248},
year = {2009}
}