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 paperExternal document link
https://hal.archives-ouvertes.fr/hal-01201984Date
2015Series title
Cahier de recherche CEREMADE, Université Paris-DauphinePages
15
Metadata
Show full item recordAbstract (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 equationRelated items
Showing items related by title and author.
-
Olla, Stefano; Liverani, Carlangelo (2012) Article accepté pour publication ou publié
-
Bernardin, Cédric; Huveneers, François; Lebowitz, Joel L.; Liverani, Carlangelo; Olla, Stefano (2015) Article accepté pour publication ou publié
-
Nouaili, Nejla; Zaag, Hatem (2018) Article accepté pour publication ou publié
-
Construction of a blow-up solution for the Complex Ginzburg-Landau equation in a critical case, β≠0 Duong, Giao Ky; Nouaili, Nejla; Zaag, Hatem (2022) Document de travail / Working paper
-
Olla, Stefano (2009) Communication / Conférence