数学研究所

调和分析及其应用研究中心

学术报告

偏微分方程研讨班

Speaker:Sylvia SERFATY（Courant Institute of Mathematical Sciences, New York University）

Inviter: 阮国兴 副研究员

Language: English

Title: Systems of points with Coulomb interactions

Time&Venue: 2025年4月23日（星期三）16:00-17:00& N202

Abstract:  Large ensembles of points with Coulomb interactions arise in various settings of condensed matter physics, classical and quantum mechanics, statistical mechanics, random matrices and even approximation theory, and they give rise to a variety of questions pertaining to analysis, Partial Differential Equations and probability.We will first review these motivations, then present the ''mean-field'' derivation of effective models and equations describing the system at the macroscopic scale. We then explain how to analyze the next order behavior, giving information on the configurations at the microscopic level and connecting with crystallization questions, and finish with the description of the effect of temperature.