Vlasov equation and N-body dynamics View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2014-08

AUTHORS

Yves Elskens, Dominique F. Escande, Fabrice Doveil

ABSTRACT

Difficulties in founding microscopically the Vlasov equation for Coulomb-interacting particles are recalled for both the statistical approach (BBGKY hierarchy and Liouville equation on phase space) and the dynamical approach (single empirical measure on one-particle (r,v)-space). The role of particle trajectories (characteristics) in the analysis of the partial differential Vlasov-Poisson system is stressed. Starting from many-body dynamics, a direct derivation of both Debye shielding and collective behaviour is sketched. More... »

PAGES

218

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epjd/e2014-50164-9

DOI

http://dx.doi.org/10.1140/epjd/e2014-50164-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1042959639


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