Hydrodynamic limit for asymmetric simple exclusion with accelerated boundaries

DOI10.1214/23-AIHP1384MaRDI QIDQ6616029

Lu Xu

Publication date: 8 October 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

zbMATH Keywords

entropy solutionboundary layerhydrodynamic limitasymmetric simple exclusion processopen boundary

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Transport processes in time-dependent statistical mechanics (82C70)

Cites Work

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• Quasi-static limit for the asymmetric simple exclusion
• Quasi-static large deviations
• Exclusion process with slow boundary
• Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion
• First order quasilinear equations with boundary conditions
• Ergodic Theorems for the Asymmetric Simple Exclusion Process
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• Strong traces for solutions of multidimensional scalar conservation laws

Related Items (1)

Non-equilibrium fluctuations for \(\operatorname{SEP}(\alpha)\) with open boundary

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