Asymmetric attractive zero-range processes with particle destruction at the origin

DOI10.1016/j.spa.2023.01.015OpenAlexW4226003846MaRDI QIDQ2698476

C. Erignoux, Marielle Simon, Linjie Zhao

Publication date: 24 April 2023

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04133

zbMATH Keywords

hydrodynamic limitboundary conditionhyperbolic conservation lawattractivenessasymmetric zero-range process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Cites Work

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• Equilibrium fluctuations for the slow boundary exclusion process
• Measure-valued solutions to conservation laws
• Hydrodynamic limit of boundary driven exclusion processes with nonreversible boundary dynamics
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• Exclusion process with slow boundary
• Hydrodynamical limit for space inhomogeneous one-dimensional totally asymmetric zero-range processes
• Derivation of a Leroux system as the hydrodynamic limit of a two-component lattice gas
• First order quasilinear equations with boundary conditions
• Hydrodynamics and large deviation for simple exclusion processes

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