Bennett condition for the equilibrium of the relativistic electron beam propagating in a ion focused regime along the external magnetic field

Authors

  • Evgeniy K Kolesnikov St.Petersburg State University, Universitetskaya nab., 7/9, St.Petersburg, 199034, Russian Federation;
  • Alexander S Manuilov St.Petersburg State University, Universitetskaya nab., 7/9, St.Petersburg, 199034, Russian Federation;

Abstract

The probleme of the generalized formulation of the Bennett equilibrium condition for a relativisti electron beam propagating in the ion focused regime along the external magnetic field are investigated. It is assumed that the electron fraction of the background plasma not fully removed from a beam’s volum. The mass and impulse moment’s equations derived for a paraxial monoenergetic electron beam from the Vlasov kinetic equation are used for a investigation of this Bennett equilibrium condition. Refs 9.

Keywords:

Bennett equilibrium condition, relativistic electron beam, ion focused regime, ion plasma channel, external magnetic field

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Published

2014-05-01

How to Cite

Kolesnikov, E. K., & Manuilov, A. S. (2014). Bennett condition for the equilibrium of the relativistic electron beam propagating in a ion focused regime along the external magnetic field. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 1(2), 271–277. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11052

Issue

Vol. 1 No. 2 (2014)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.