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.
| Dokumententyp: | Zeitschriftenartikel |
|---|---|
| Fakultät: | Mathematik, Informatik und Statistik > Mathematik |
| Themengebiete: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| ISSN: | 0010-3616 |
| Sprache: | Englisch |
| Dokumenten ID: | 47432 |
| Datum der Veröffentlichung auf Open Access LMU: | 27. Apr. 2018 08:13 |
| Letzte Änderungen: | 04. Nov. 2020 13:24 |
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