Self-similar solutions for Vlasov and water-bag models

Autor:	Marc R. Feix, J. Gutierrez, J. R. Burgan, E. Fijalkow, M. Navet
Rok vydání:	1978
Předmět:	Physics Uniqueness theorem for Poisson's equation Mathematical analysis Vlasov equation Free boundary problem Mixed boundary condition Boundary value problem Poisson's equation Condensed Matter Physics Plasma modeling Poincaré–Steklov operator Mathematical physics
Zdroj:	Journal of Plasma Physics. 19:135-146
ISSN:	1469-7807 0022-3778
DOI:	10.1017/s0022377800023709
Popis:	Using finite group theory, self-similar solutions for the one-dimensional Vlasov– Poisson system are considered, both for electron plasmas, with a fixed ion background, and for a single species beam. Difficulties arising from the Poisson equation are pointed out and handled by using an exponential group of transformations. Introducing, for the beam, a water-bag model, we find that the boundary condition problem, imposed by self-similarity, can be solved through the introduction of a ‘virtual particle’ concept. In order to test the analytical solution obtained, we perform a numerical simulation using a particle code. Complete agreement is found.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2a269b8631026af8555e4b93e41c0566 https://doi.org/10.1017/s0022377800023709 Zobrazit plný text záznamu