A Microscopic Derivation Of Coupled Spde's With A Kpz Flavor
Mathematical Physics
2019-10-10 v1 Statistical Mechanics
math.MP
Probability
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.
Keywords
Cite
@article{arxiv.1910.03996,
title = {A Microscopic Derivation Of Coupled Spde's With A Kpz Flavor},
author = {Ragaa Ahmed and Cedric Bernardin and Patricia Goncalves and Marielle Simon},
journal= {arXiv preprint arXiv:1910.03996},
year = {2019}
}