Systems of points with Coulomb interactions – Sylvia Serfaty – ICM2018
Автор: Rio ICM2018
Загружено: 2018-09-19
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Plenary Lecture 2
Systems of points with Coulomb interactions
Sylvia Serfaty
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.
ICM 2018 – International Congress of Mathematicians ©
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