Français
Macroscopic fluctuation theory. Lecture 1: Particle systems, scaling limits and large deviations
Post-edited
Authors : Gabrielli, Davide (Author of the conference)
CIRM (Publisher )
60F10 - Large deviations
82C05 - Classical dynamic and nonequilibrium statistical mechanics (general)
82C22 - Interacting particle systems
CIRM (Publisher )
Abstract :
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.
MSC Codes : 60F10 - Large deviations
82C05 - Classical dynamic and nonequilibrium statistical mechanics (general)
82C22 - Interacting particle systems
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 10/02/16 Conference Date : 19/01/16 Subseries : Research talks arXiv category : Statistics Theory ; Mathematical Physics Mathematical Area(s) : Mathematical Physics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:49:31 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-01-19_Gabrielli_part1.mp4 
|
Information on the Event
Event Title : Nonequilibrium: physics, stochastics and dynamical systems / Non-équilibre : physique, stochastique et systèmes dynamiquesEvent Organizers : Chazottes, Jean-René ; Redig, Frank Dates : 18/01/16 - 22/01/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1434.html
Citation Data
DOI : 10.24350/CIRM.V.18916203Cite 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 |
See Also
- [Multi angle] The weak KPZ universality conjecture. Lecture 3 / Author of the conference Jara, Milton.
- [Multi angle] The weak KPZ universality conjecture. Lecture 2 / Author of the conference Jara, Milton.
- [Multi angle] The weak KPZ universality conjecture. Lecture 1 / Jara, Milton.
- [Multi angle] Macroscopic fluctuation theory. Lecture 3: Examples and applications / Author of the conference Gabrielli, Davide.
- [Multi angle] Macroscopic fluctuation theory. Lecture 2 / Author of the conference Gabrielli, Davide.
Bibliography
- 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
