HYDRODYNAMICS IN A CONDENSATION REGIME: THE DISORDERED ASYMMETRIC ZERO-RANGE PROCESS

• 成果类型: Article
• 署名作者: Bahadoran, C.; Mountford, T.; Ravishankar, K.; Saada, E.
• 署名单位: Universite Clermont Auvergne (UCA); Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; New York University; NYU Shanghai; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/19-AOP1365
• 发表日期: 2020
• 页码: 404-444
• 关键词: attractive particle-systems; euler hydrodynamics; limit

摘要

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.