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One-dimensional self-consistent kinetic models as Vlasov equation solutions

Part of: PLA The Vlasov Equation

Published online by Cambridge University Press:  02 October 2017

Helen Y. Barminova Open the ORCID record for Helen Y. Barminova [Opens in a new window]
Helen Y. Barminova*
Affiliation:
Plasma Physics Department, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, 115409, Russian Federation
*
†Email address for correspondence: eebarminova@mephi.ru
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Abstract

One-dimensional self-consistent kinetic models may describe some states of intense charged particle beams. In the collisionless approximation, which is appropriate for the short current pulse duration, the kinetic distribution function may be built as a function of the motion integrals. Two situations are considered corresponding to the wide charged particle flux with the sharp front and to the sheet continuous beam freely propagating in space. In both cases, one-dimensional Vlasov equation solutions are shown to exist, which are based on algebraic functions of the motion invariants.

Keywords

intense particle beams
Type
Research Article
Information
Journal of Plasma Physics , Volume 83 , Issue 5 , October 2017 , 705830501
Copyright
© Cambridge University Press 2017 

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