A correction to the hydrodynamic limit of boundary driven weakly asymmetric exclusion processes in a quasi-static time scale

DOI10.1007/S10955-016-1514-ZzbMath1342.82092arXiv1509.05801OpenAlexW3103685818MaRDI QIDQ301745

F. Blanchet-Sadri, M. Dambrine

Publication date: 1 July 2016

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

Full work available at URL: https://arxiv.org/abs/1509.05801

zbMATH Keywords

hydrodynamic equationboundary driven interacting particle systemsfirst order correctionquasi-static transformations

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (1)

Quasi-static large deviations

Cites Work

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• Nonequilibrium isothermal transformations in a temperature gradient from a microscopic dynamics
• Quasi-static hydrodynamic limits
• Occupation time large deviations for the symmetric simple exclusion process
• First order correction for the hydrodynamic limit of symmetric simple exclusion processes with speed change in dimension \(d\geq 3\)
• Macroscopic fluctuation theory for stationary nonequilibrium states
• Thermodynamic transformations of nonequilibrium states
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• Microscopic derivation of an adiabatic thermodynamic transformation
• Quantitative analysis of the Clausius inequality
• DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION
• Microscopic Derivation of an Isothermal Thermodynamic Transformation

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