Crossover to the stochastic Burgers equation for the WASEP with a slow bond

DOI10.1007/s00220-016-2607-xzbMath1356.60169arXiv1506.06560OpenAlexW2304138882MaRDI QIDQ328478

Marielle Simon, Tertuliano Franco, Patrícia C. Gonçalves

Publication date: 20 October 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06560

zbMATH Keywords

Ornstein-Uhlenbeck processstochastic Burgers equationBoltzmann-Gibbs principleEdwards-Wilkinson universality classKardar-Parisi-Zhang universality classweakly asymmetric simple exclusion process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items

\(\operatorname{ASEP}(q,j)\) converges to the KPZ equation, Second order Boltzmann-Gibbs principle for polynomial functions and applications, The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions, Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP, Stochastic Burgers equation from long range exclusion interactions, Stochastic PDE limit of the six vertex model, Space-time discrete KPZ equation, Mixing time for the asymmetric simple exclusion process in a random environment, Some recent progress in singular stochastic partial differential equations, The infinitesimal generator of the stochastic Burgers equation, The slow bond random walk and the snapping out Brownian motion, SPDE limit of weakly inhomogeneous ASEP, Quadratic Fluctuations of the Simple Exclusion Process, The intermediate disorder regime for Brownian directed polymers in Poisson environment, Energy solutions of KPZ are unique

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