From Vlasov fluctuations to the BGL kinetic equation

Lancellotti, C. (2010) From Vlasov fluctuations to the BGL kinetic equation. Il nuovo cimento C, 33 (1). pp. 111-119. ISSN 1826-9885

ncc9582.pdf - Published Version

Download (167kB) | Preview
Official URL:


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
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

Actions (login required)

View Item View Item