Hydrodynamics for symmetric exclusion in contact with reservoirs

DOI10.1007/978-3-030-15096-9_4zbMath1442.82014arXiv1803.11460OpenAlexW2963641542MaRDI QIDQ2181457

Patrícia C. Gonçalves

Publication date: 19 May 2020

Full work available at URL: https://arxiv.org/abs/1803.11460

zbMATH Keywords

heat equationboundary conditionsreaction-diffusionstochastic reservoirssymmetric exclusionregional fractional Laplacian

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Reaction-diffusion equations (35K57) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Heat equation (35K05) Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Foundations of fluid mechanics (76A02) Fractional partial differential equations (35R11)

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Long-time behavior of SSEP with slow boundary ⋮ Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics ⋮ Hydrodynamics for SSEP with non-reversible slow boundary dynamics. I: The critical regime and beyond ⋮ Non-equilibrium and stationary fluctuations for the SSEP with slow boundary ⋮ Hydrodynamics of porous medium model with slow reservoirs ⋮ Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion ⋮ Hydrodynamic and hydrostatic limit for a generalized contact process with mixed boundary conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket ⋮ Hydrodynamic limit of the symmetric exclusion process on a compact Riemannian manifold ⋮ Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs ⋮ Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps

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