| Lazarovici, Dustin (2016): The Vlasov-Poisson Dynamics as the Mean Field Limit of Extended Charges. In: Communications in Mathematical Physics, Vol. 347, No. 1: pp. 271-289 |
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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.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 0010-3616 |
| Language: | English |
| ID Code: | 47432 |
| Deposited On: | 27. Apr 2018 08:13 |
| Last Modified: | 04. Nov 2020 13:24 |
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