Published 2021 | Version v1
Journal article

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

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Description

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.

Abstract

In Press in Annales de l'Institut Poincaré Section B

Abstract

International audience

Additional details

Created:
December 4, 2022
Modified:
December 1, 2023