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Diffusive scaling in energy ginzburg-Landau dynamics

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
Pages
15
Metadata
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Author(s)
Liverani, Carlangelo
Olla, Stefano cc
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