Phase transition of a heat equation with Robin’s boundary conditions and exclusion process

DOI10.1090/S0002-9947-2014-06260-0zbMath1327.60189arXiv1210.3662OpenAlexW1996351766MaRDI QIDQ5264916

Tertuliano Franco, Adriana Neumann, Patrícia C. Gonçalves

Publication date: 20 July 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3662

zbMATH Keywords

heat equationphase transitionRobin boundary conditionshydrodynamic limitslowed excursion process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Heat equation (35K05) Functional limit theorems; invariance principles (60F17)

Related Items (12)

Moderate deviations for the SSEP with a slow bond ⋮ Exclusion process with slow boundary ⋮ Non-equilibrium fluctuations for the SSEP with a slow bond ⋮ Hydrodynamics for the ABC model with slow/fast boundary ⋮ Hydrodynamic limits: the emergence of fractional boundary conditions ⋮ Large deviations for the exclusion process with a slow bond ⋮ 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 ⋮ Occupation time of exclusion processes with conductances ⋮ Slowed Exclusion Process: Hydrodynamics, Fluctuations and Phase Transitions

Cites Work

• Hydrodynamic limit of gradient exclusion processes with conductances
• Hydrodynamical behavior of symmetric exclusion with slow bonds
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