English
Macroscopic fluctuation theory. Lecture 1: Particle systems, scaling limits and large deviations
Post-edited
Auteurs : Gabrielli, Davide (Auteur de la Conférence)
CIRM (Editeur )
60F10 - Large deviations
82C05 - Classical dynamic and nonequilibrium statistical mechanics (general)
82C22 - Interacting particle systems
CIRM (Editeur )
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
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 10/02/16 Date de captation : 19/01/16 Sous collection : Research talks arXiv category : Statistics Theory ; Mathematical Physics Domaine : Mathematical Physics ; Probability & Statistics Format : MP4 (.mp4) - HD Durée : 00:49:31 Audience : Researchers Download : https://videos.cirm-math.fr/2016-01-19_Gabrielli_part1.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Nonequilibrium: physics, stochastics and dynamical systems / Non-équilibre : physique, stochastique et systèmes dynamiquesOrganisateurs 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
Données de citation
DOI : 10.24350/CIRM.V.18916203Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] The weak KPZ universality conjecture. Lecture 3 / Auteur de la Conférence Jara, Milton.
- [Multi angle] The weak KPZ universality conjecture. Lecture 2 / Auteur de la Conférence Jara, Milton.
- [Multi angle] The weak KPZ universality conjecture. Lecture 1 / Jara, Milton.
- [Multi angle] Macroscopic fluctuation theory. Lecture 3: Examples and applications / Auteur de la Conférence Gabrielli, Davide.
- [Multi angle] Macroscopic fluctuation theory. Lecture 2 / Auteur de la Conférence Gabrielli, Davide.
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
