Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process

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.

arXiv commentAnnals of Probability, In press

References in corpus (5)

• Phase separation in disordered exclusion models
• Condensation in stochastic particle systems with stationary product measures
• Coupling, Attractiveness and Hydrodynamics for Conservative Particle Systems
• Hydrodynamics of the zero-range process in the condensation regime
• A convexity property of expectations under exponential weights