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

2018/01/05 by Christophe Bahadoran, Thomas Mountford, Bahadoran, Christophe +4
Mathematics · Physics and Astronomy · #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1801.01654

openalex publication_date 2018/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A convexity property of expectations under exponential weights

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