Non-equilibrium and stationary fluctuations for the SSEP with slow boundary

DOI10.1016/j.spa.2019.12.006zbMath1441.60079arXiv1810.05015OpenAlexW2997265655MaRDI QIDQ2182636

Otávio Menezes, Adriana Neumann, Milton D. Jara, Patrícia C. Gonçalves

Publication date: 26 May 2020

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

Full work available at URL: https://arxiv.org/abs/1810.05015

Mathematics Subject Classification ID

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

Related Items (7)

Long-time behavior of SSEP with slow boundary ⋮ Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics ⋮ Large deviations in the symmetric simple exclusion process with slow boundaries ⋮ Hydrodynamical behavior for the symmetric simple partial exclusion with open boundary ⋮ Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket ⋮ Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations ⋮ Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs

Cites Work

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• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• Equilibrium fluctuations for the slow boundary exclusion process
• Hydrodynamics for symmetric exclusion in contact with reservoirs
• Exclusion process with slow boundary
• Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps
• Non-equilibrium steady states: fluctuations and large deviations of the density and of the current

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