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January 2020 Hydrodynamics in a condensation regime: The disordered asymmetric zero-range process
C. Bahadoran, T. Mountford, K. Ravishankar, E. Saada
Ann. Probab. 48(1): 404-444 (January 2020). DOI: 10.1214/19-AOP1365

Abstract

We study asymmetric zero-range processes on $\mathbb{Z}$ 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.

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C. Bahadoran. T. Mountford. K. Ravishankar. E. Saada. "Hydrodynamics in a condensation regime: The disordered asymmetric zero-range process." Ann. Probab. 48 (1) 404 - 444, January 2020. https://doi.org/10.1214/19-AOP1365

Information

Received: 1 January 2018; Revised: 1 March 2019; Published: January 2020
First available in Project Euclid: 25 March 2020

zbMATH: 07206763
MathSciNet: MR4079441
Digital Object Identifier: 10.1214/19-AOP1365

Subjects:
Primary: 60K35, 82C22

Rights: Copyright © 2020 Institute of Mathematical Statistics

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Vol.48 • No. 1 • January 2020
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