Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process
Probability
2019-11-11 v3
Abstract
We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the number of particles. For any given environment satisfying suitable averaging properties, we establish a hydrodynamic limit given by a scalar conservation law including the domain above critical density, where the flux is shown to be constant.
Cite
@article{arxiv.1801.01654,
title = {Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process},
author = {Christophe Bahadoran and T. Mountford and K. Ravishankar and E Saada},
journal= {arXiv preprint arXiv:1801.01654},
year = {2019}
}
Comments
Annals of Probability, In press