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Lazarovici, Dustin (2016): The Vlasov-Poisson Dynamics as the Mean Field Limit of Extended Charges. In: Communications in Mathematical Physics, Vol. 347, Nr. 1: S. 271-289
Volltext auf 'Open Access LMU' nicht verfügbar.

Abstract

The paper treats the validity problem of the nonrelativistic Vlasov-Poisson equation in dimensions. It is shown that the Vlasov-Poisson dynamics can be derived as a combined mean field and point-particle limit of an N-particle Coulomb system of extended charges. This requires a sufficiently fast convergence of the initial empirical distributions. If the electron radius decreases slower than , the corresponding initial configurations are typical. This result entails propagation of molecular chaos for the respective dynamics.