In:
Journal of Plasma Physics, Cambridge University Press (CUP), Vol. 19, No. 1 ( 1978-02), p. 135-146
Abstract:
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.
Type of Medium:
Online Resource
ISSN:
0022-3778
,
1469-7807
DOI:
10.1017/S0022377800023709
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1978
detail.hit.zdb_id:
2004297-8
Permalink