Quasi-potential for the one dimensional SSEP in weak contact with reservoirs

DOI10.1016/J.SPA.2024.104444MaRDI QIDQ6615509

Sonia Velasco, Claudio Landim

Publication date: 8 October 2024

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

zbMATH Keywords

large deviationsmacroscopic fluctuation theoryquasi-potentialboundary driven exclusion process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

Cites Work

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• Dynamical large deviations for the boundary driven weakly asymmetric exclusion process
• Large deviations for the symmetric simple exclusion process in dimensions \(d\geqq 3\)
• Large deviations for the boundary driven symmetric simple exclusion process
• Large deviation of the density profile in the steady state of the open symmetric simple exclusion process.
• Macroscopic fluctuation theory for stationary nonequilibrium states
• Hydrostatics and dynamical large deviations for a reaction-diffusion model
• Large deviations for the exclusion process with a slow bond
• Hydrodynamical behavior of symmetric exclusion with slow bonds
• Thermodynamics of nonequilibrium driven diffusive systems in mild contact with boundary reservoirs
• Hydrodynamics for symmetric exclusion in contact with reservoirs
• Exclusion process with slow boundary
• From dynamic to static large deviations in boundary driven exclusion particle systems.
• Large deviations in the symmetric simple exclusion process with slow boundaries
• Hydrostatic limit for exclusion process with slow boundary revisited
• Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps
• Phase transition of a heat equation with Robin’s boundary conditions and exclusion process

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