Abstract: 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.
Recording during the thematic meeting: "Nonequilibrium: physics, stochastics and dynamical systems" the January 19, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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Davide Gabrielli : Macroscopic fluctuation theory / Macroscopic fluctuation theory mathematics museum | |
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| Science & Technology | Upload TimePublished on 17 Feb 2016 |
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