Systems with Coulomb Interactions: Mean-Field Limits and Statistical Mechanics - Lecture 2

Explore large systems of particles with Coulomb-type repulsion in this comprehensive lecture by Sylvia Serfaty from the Courant Institute. Delve into the mean-field dynamics of these systems using a modulated energy approach in the first part of the talk. Then, expand your understanding of the statistical mechanics of Coulomb systems, covering topics such as free energy expansion, Large Deviation Principle (LDP) for empirical fields, and fluctuations around the mean-field limit. Discover the common tools and ideas that bridge both parts of this in-depth discussion, providing a thorough examination of Coulomb interactions in particle systems. This 1 hour and 54 minute lecture, presented at the Institut des Hautes Etudes Scientifiques (IHES), offers valuable insights for researchers and students interested in advanced topics in mathematical physics and statistical mechanics.