Recent results and open problems on the hydrodynamics of disordered asymmetric exclusion and zero-range processes
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
This paper summarizes results and some open problems about the large-scale and long-time behavior of asymmetric, disordered exclusion and zero-range processes. These processes have randomly chosen jump rates at the sites of the underlying lattice. The interesting feature is that for suitably distributed random rates there is a phase transition where the process behaves differently at high and low densities. Some of this distinction is visible on the hydrodynamic scale.
Keywords
Cite
@article{arxiv.math/9906194,
title = {Recent results and open problems on the hydrodynamics of disordered asymmetric exclusion and zero-range processes},
author = {Timo Seppalainen},
journal= {arXiv preprint arXiv:math/9906194},
year = {2007}
}
Comments
Proceedings of II Escola Brasileira de Probabilidade (Barra do Sahy, Sao Paulo, August 1998)