Phase transition in equilibrium fluctuations of symmetric slowed exclusion

DOI10.1016/j.spa.2013.06.016zbMath1296.60261arXiv1301.4935OpenAlexW2008577728MaRDI QIDQ2447737

Tertuliano Franco, Adriana Neumann, Patrícia C. Gonçalves

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1301.4935

zbMATH Keywords

phase transitionequilibrium fluctuationsslowed exclusion

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Functional limit theorems; invariance principles (60F17)

Related Items (18)

Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics ⋮ Corrigendum to: ``Phase transition in equilibrium fluctuations of symmetric slowed exclusion. ⋮ Fluctuation limit for interacting diffusions with partial annihilations through membranes ⋮ Crossover to the stochastic Burgers equation for the WASEP with a slow bond ⋮ Moderate deviations for the SSEP with a slow bond ⋮ Exclusion process with slow boundary ⋮ Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP ⋮ Non-equilibrium fluctuations for the SSEP with a slow bond ⋮ Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion ⋮ Hydrodynamic and hydrostatic limit for a generalized contact process with mixed boundary conditions ⋮ Diffusive fluctuations of long-range symmetric exclusion with a slow barrier ⋮ Large deviations for the exclusion process with a slow bond ⋮ Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket ⋮ The slow bond random walk and the snapping out Brownian motion ⋮ Hydrodynamic limit for the SSEP with a slow membrane ⋮ Scaling limits for the exclusion process with a slow site ⋮ Occupation time of exclusion processes with conductances ⋮ Slowed Exclusion Process: Hydrodynamics, Fluctuations and Phase Transitions

Cites Work

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• Hydrodynamical behavior of symmetric exclusion with slow bonds
• Hydrodynamic behavior of 1D subdiffusive exclusion processes with random conductances
• Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion
• Central limit theorem for a tagged particle in asymmetric simple exclusion
• A Central Limit Theorem for the Weakly Asymmetric Simple Exclusion Process
• On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion

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