Mean field limits for charged particles

Date(s) : 15/03/2016   iCal
11 h 00 min - 12 h 00 min

While kinetic equations of the Vlasov type are commonly and successfully used in physics, their microscopic derivation is still a largely open problem. In recent years, great progress has been made in proving mean field limits for singular forces, in particular due to the works of Hauray and Jabin. In the light of these developments, we present a novel method for deriving mean field equations that is designed for stochastic initial conditions. We apply it to provide a particle approximation of the Vlasov-Poisson and Vlasov-Maxwell dynamics as a combined mean field and point-particle limit of extended charges with N-dependent radius.

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