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arXiv · 1910.03996

A Microscopic Derivation Of Coupled Spde's With A Kpz Flavor

Ragaa Ahmed·Cedric Bernardin·Patricia Goncalves·Marielle Simon
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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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Ragaa Ahmed, Cedric Bernardin, Patricia Goncalves, Marielle Simon. 2019-10-09. A Microscopic Derivation Of Coupled Spde's With A Kpz Flavor. https://arxiv.org/abs/1910.03996

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