Diffusive scaling in energy ginzburg-Landau dynamics

Liverani, Carlangelo; Olla, Stefano; Sasada, Makiko

Liverani, Carlangelo; Olla, Stefano; Sasada, Makiko (2015), Diffusive scaling in energy ginzburg-Landau dynamics. https://basepub.dauphine.fr/handle/123456789/16840

Type

Document de travail / Working paper

External document link

https://hal.archives-ouvertes.fr/hal-01201984

Date

2015

Series title

Cahier de recherche CEREMADE, Université Paris-Dauphine

Metadata

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Author(s)

Liverani, Carlangelo
Olla, Stefano

Sasada, Makiko

Abstract (EN)

Ginzburg-Landau energy models arise as autonomous sto-chastic dynamics for the energies in coupled systems after a weak coupling limit (cf. [3, 6]). We prove here that, under certain conditions, the energy fluctuations of these stochastic dynamics are driven by the heat equation, under a diffusive space time scaling.

Subjects / Keywords

Fourier law; equilibrium fluctuations; Effectif energy models; hydrodynamic limit; heat equation