Macroscopic fluctuation theory. Lecture 1: Particle systems, scaling limits and large deviations | Vidéo | Carmin.tv

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

By Davide Gabrielli

Appears in collection : Nonequilibrium: physics, stochastics and dynamical systems / Non-équilibre : physique, stochastique et systèmes dynamiques

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.

Information about the video

Date of recording 19/01/2016
Date of publication 10/02/2016
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18916203
Cite this video Gabrielli, Davide (19/01/2016). Macroscopic fluctuation theory. Lecture 1: Particle systems, scaling limits and large deviations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18916203
URL https://dx.doi.org/10.24350/CIRM.V.18916203

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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

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