H 2 Macroscopic fluctuation theory. Lecture 1: Particle systems, scaling limits and large deviations

Auteurs : Gabrielli, Davide (Auteur de la Conférence)
CIRM (Editeur )

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general microscopic framework stochastic microscopics models invariant measure empirical measure and large deviations large deviations for product measures large deviations for non equilibrium SEP and KMP current and empirical current question of the audience

Résumé : In this first lecture I will introduce a class of stochastic microscopic models very useful as toy models in non equilibrium statistical mechanics. These are multi-component stochastic particle systems like the exclusion process, the zero range process and the KMP model. I will discuss their scaling limits and the corresponding large deviations principles. Problems of interest are the computation of the current flowing across a system and the understanding of the structure of the stationary non equilibrium states. I will discuss these problems in specific examples and from two different perspectives. The stochastic microscopic and combinatorial point of view and the macroscopic variational approach where the microscopic details of the models are encoded just by the transport coefficients.

Codes MSC :
60F10 - Large deviations
82C05 - Classical dynamic and nonequilibrium statistical mechanics (general)
82C22 - Interacting particle systems

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 10/02/16
    Date de captation : 19/01/16
    Collection : Research talks ; Mathematical Physics ; Probability and Statistics
    Format : MP4 (.mp4) - HD
    Durée : 00:49:31
    Domaine : Mathematical Physics ; Probability & Statistics
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2016-01-19_Gabrielli_part1.mp4

Informations sur la rencontre

Nom de la rencontre : Nonequilibrium: physics, stochastics and dynamical systems / Non-équilibre : physique, stochastique et systèmes dynamiques
Organisateurs de la rencontre : Chazottes, Jean-René ; Redig, Frank
Dates : 18/01/16 - 22/01/16
Année de la rencontre : 2016
URL Congrès : http://conferences.cirm-math.fr/1434.html

Citation Data

DOI : 10.24350/CIRM.V.18916203
Cite this video as: Gabrielli, Davide (2016). Macroscopic fluctuation theory. Lecture 1: Particle systems, scaling limits and large deviations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18916203
URI : http://dx.doi.org/10.24350/CIRM.V.18916203

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