The mean-field limit for the dynamics of large particle systems

Abstract

This short course explains how the usual mean-field evolution {PDEs} in Statistical Physics — such as the {Vlasov-Poisson}, {Schrödinger-Poisson} or time-dependent {Hartree-Fock} equations — are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.