Cours de l'IHES 2022-2023

Systems with Coulomb Interactions : Mean-field Limits and Statistical Mechanics (1/4)

by Prof. Sylvia Serfaty (Courant Institute & DMA, ENS)

Amphithéâtre Léon Motchane

Amphithéâtre Léon Motchane

IHES Le Bois-Marie 35, route de Chartres 91440 Bures-sur-Yvette
We will discuss large systems of particles with Coulomb-type repulsion.  The first part of the course will mention the question of mean-field for the dynamics of such systems via a modulated energy approach. The second part will be more expanded and concern the statistical mechanics of such systems (expansion of free energy, LDP for empirical field, fluctuations around the mean-field limit). Several tools and ideas are common to both parts.
Organized by

Thierry Bodineau & Laure Saint-Raymond