Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP

DOI10.5802/ahl.28zbMath1480.60291arXiv1710.11011OpenAlexW2999382173WikidataQ126347586 ScholiaQ126347586MaRDI QIDQ2668010

Marielle Simon, Nicolas Perkowski, Patrícia C. Gonçalves

Publication date: 3 March 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.11011

zbMATH Keywords

Dirichlet boundary conditionsWASEPstochastic Burgers equationKPZ universality class

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional limit theorems; invariance principles (60F17)

Related Items

Boundary renormalisation of SPDEs, Positive random walks and an identity for half-space SPDEs, Markov limits of steady states of the KPZ equation on an interval, Stochastic PDE limit of the six vertex model, Derivation of anomalous behavior from interacting oscillators in the high-temperature regime, Markov duality and Bethe ansatz formula for half-line open ASEP, Stationary measure for the open KPZ equation, The KPZ limit of ASEP with boundary, Singular SPDEs in domains with boundaries, Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket, Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes, The KPZ equation on the real line, Quadratic Fluctuations of the Simple Exclusion Process, Spectral gaps of open TASEP in the maximal current phase

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