Hydrodynamical behavior of symmetric exclusion with slow bonds
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Publication:1951504
DOI10.1214/11-AIHP445zbMath1282.60095arXiv1010.4769OpenAlexW2963932706MaRDI QIDQ1951504
Adriana Neumann, Tertuliano Franco, Patrícia C. Gonçalves
Publication date: 6 June 2013
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.4769
Nonlinear parabolic equations (35K55) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)
Related Items (21)
Moderate deviations for the SSEP with a slow bond ⋮ Large deviations in the symmetric simple exclusion process with slow boundaries ⋮ Hydrodynamics for SSEP with non-reversible slow boundary dynamics. I: The critical regime and beyond ⋮ Exclusion process with slow boundary ⋮ Non-equilibrium fluctuations for the SSEP with a slow bond ⋮ Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion ⋮ Hydrodynamic and hydrostatic limit for a generalized contact process with mixed boundary conditions ⋮ Hydrodynamics for the ABC model with slow/fast boundary ⋮ Hydrodynamic limits: the emergence of fractional boundary conditions ⋮ Unnamed Item ⋮ Large deviations for the exclusion process with a slow bond ⋮ Phase transition in equilibrium fluctuations of symmetric slowed exclusion ⋮ A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions ⋮ The slow bond random walk and the snapping out Brownian motion ⋮ Energy estimates and convergence of weak solutions of the porous medium equation ⋮ Hydrodynamic limit for the SSEP with a slow membrane ⋮ Scaling limits for the exclusion process with a slow site ⋮ First displacement time of a tagged particle in a stochastic cluster in a simple exclusion process with random slow bonds ⋮ Occupation time of exclusion processes with conductances ⋮ Slowed Exclusion Process: Hydrodynamics, Fluctuations and Phase Transitions ⋮ Phase transition of a heat equation with Robin’s boundary conditions and exclusion process
Cites Work
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- Limit theorems for random walks, birth and death processes, and diffusion processes
- Hydrodynamic Limit of the Exclusion Process in Inhomogeneous Media
- Hydrodynamic Limit for a Type of Exclusion Process with Slow Bonds in Dimension d ≥ 2
- Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond.
- A diffusive system driven by a battery or by a smoothly varying field
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