DIFFUSIVE SCALING IN ENERGY GINZBURG-LANDAU DYNAMICS

Carlangelo Liverani (1) , Stefano Olla (2) , Makiko Sasada (3)

1 DIPMAT - Dipartimento di Matematica [Roma II]
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
3 Graduate School of Mathematical Sciences

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.

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

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]; Probabilités [math.PR]

Carlangelo Liverani, Stefano Olla, Makiko Sasada. DIFFUSIVE SCALING IN ENERGY GINZBURG-LANDAU DYNAMICS. 2015. ⟨hal-01201984v2⟩