Partially asymmetric exclusion models with quenched disorder
Disordered Systems and Neural Networks
2009-11-10 v2 Statistical Mechanics
Abstract
We consider the one-dimensional partially asymmetric exclusion process with random hopping rates, in which a fraction of particles (or sites) have a preferential jumping direction against the global drift. In this case the accumulated distance traveled by the particles, x, scales with the time, t, as x ~ t^{1/z}, with a dynamical exponent z > 0. Using extreme value statistics and an asymptotically exact strong disorder renormalization group method we analytically calculate, z_{pt}, for particlewise (pt) disorder, which is argued to be related to the dynamical exponent for sitewise (st) disorder as z_{st}=z_{pt}/2. In the symmetric situation with zero mean drift the particle diffusion is ultra-slow, logarithmic in time.
Cite
@article{arxiv.cond-mat/0404575,
title = {Partially asymmetric exclusion models with quenched disorder},
author = {R. Juhasz and L. Santen and F. Igloi},
journal= {arXiv preprint arXiv:cond-mat/0404575},
year = {2009}
}
Comments
4 pages, 3 figures