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Journal Articles Annales de l'Institut Henri Poincaré Year : 2022

A Microscopic Derivation of Coupled SPDE's with a KPZ Flavor

Abstract

We consider an interacting particles system composed of a Hamiltonian part and perturbed by a conservative stochastic noise so that the full system conserves two quantities: energy and volume. The Hamiltonian part is regulated by a scaling parameter vanishing in the limit. We study the form of the fluctuations of these quantities at equilibrium and derive coupled stochastic partial differential equations with a KPZ flavor.
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Dates and versions

hal-02307963 , version 1 (08-10-2019)

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Ragaa Ahmed, Cedric Bernardin, Patricia Gonçalves, Marielle Simon. A Microscopic Derivation of Coupled SPDE's with a KPZ Flavor. Annales de l'Institut Henri Poincaré, 2022, 58 (2), ⟨10.1214/21-AIHP1196⟩. ⟨hal-02307963⟩
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