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Macroscopic fluctuation theory. Lecture 2

De Davide Gabrielli

Apparaît dans la collection : Nonequilibrium: physics, stochastics and dynamical systems / Non-équilibre : physique, stochastique et systèmes dynamiques

In this second lecture I will discuss the basic ideas of the macroscopic fluctuation theory as an effective theory in non equilibrium statistical mechanics. All the theory develops starting from a principal formula that describes the distribution at large deviations scale of the joint fluctuations of the density and the current for a diffusive system. The validity of such a formula can be proved for diffusive stochastic lattice gases. I will discuss an infinite dimensional Hamilton-Jacobi equation for the quasi-potential of stationary non equilibrium states, fluctuation-dissipation relationships, the underlying Hamiltonian structure, a relation with work and Clausius inequality, a large deviations functional for the current flowing through a system.

Informations sur la vidéo

Date de captation 19/01/2016
Date de publication 11/02/2016
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18916603
Citer cette vidéo Gabrielli, Davide (19/01/2016). Macroscopic fluctuation theory. Lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18916603
URL https://dx.doi.org/10.24350/CIRM.V.18916603

Domaine(s)

Bibliographie

Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G., & Landim, C. (2015). Macroscopic fluctuation theory. Reviews of Modern Physics, 87(2), 593 - http://dx.doi.org/10.1103/RevModPhys.87.593

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