Exclusion process with slow boundary

DOI10.1007/s10955-017-1763-5zbMath1376.82054arXiv1407.7918OpenAlexW2257595604MaRDI QIDQ2410003

Otávio Menezes, Rangel Baldasso, Rafael Rigão Souza, Adriana Neumann

Publication date: 16 October 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7918

zbMATH Keywords

hydrodynamic limitexclusion processhydrostatic limitslow boundary

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Weak solutions to PDEs (35D30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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Cites Work

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• Truncated correlations in the stirring process with births and deaths
• Non-equilibrium stationary states in the symmetric simple exclusion with births and deaths
• Current reservoirs in the simple exclusion process
• Hydrodynamic limit of gradient exclusion processes with conductances
• Hydrodynamical behavior of symmetric exclusion with slow bonds
• Phase transition in equilibrium fluctuations of symmetric slowed exclusion
• Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
• Phase transition of a heat equation with Robin’s boundary conditions and exclusion process
• A diffusive system driven by a battery or by a smoothly varying field

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