Lancellotti, C. (2010) From Vlasov fluctuations to the BGL kinetic equation. Il nuovo cimento C, 33 (1). pp. 111-119. ISSN 1826-9885
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Abstract
This paper shows that the spatially homogeneous Balescu-Guernsey-Lenard kinetic equation is associated, at least formally, with a stochastic process that arises naturally as the N →∞ limit of a certain N-particle Hamiltonian system. The process describes the long-time motion of a particle traveling in a Vlasov fluctuation field. The Fokker-Planck equation for the process coincides with the Balescu-Guernsey-Lenard equation whenever the solution is analytic in the velocity variables, but should also be considered as a model in its own right.
| Item Type: | Article |
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| Uncontrolled Keywords: | Kinetic theory ; Classical transport ; Plasma kinetic equations |
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 31 Mar 2020 15:25 |
| Last Modified: | 31 Mar 2020 15:25 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/16800 |
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