TY - JOUR

T1 - Exact kinetic theory for the instability of an electron beam in a hot magnetized plasma

AU - Timofeev, I. V.

AU - Annenkov, V. V.

N1 - Funding Information: This work was supported by the Ministry of education and science of Russia (Project Nos. 14.B37.21.0750, 14.B37.21.1178, 14.B37.21.0784, and 8387), Russian Foundation of Basic Research (Grant Nos. 12-02-31696, 11-02-00563, and 11-01-00249) and the President grant SP-1289.2012.1. Copyright: Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2013/9

Y1 - 2013/9

N2 - Efficiency of collective beam-plasma interaction strongly depends on the growth rates of dominant instabilities excited in the system. Nevertheless, exact calculations of the full unstable spectrum in the framework of relativistic kinetic theory for arbitrary magnetic fields and particle distributions were unknown until now. In this paper, we give an example of such a calculation answering the question whether the finite thermal spreads of plasma electrons are able to suppress the fastest growing modes in the beam-plasma system. It is shown that nonrelativistic temperatures of Maxwellian plasmas can stabilize only the oblique instabilities of relativistic beam. On the contrary, non-Maxwellian tails typically found in laboratory beam-plasma experiments are able to substantially reduce the growth rate of the dominant longitudinal modes affecting the efficiency of turbulent plasma heating.

AB - Efficiency of collective beam-plasma interaction strongly depends on the growth rates of dominant instabilities excited in the system. Nevertheless, exact calculations of the full unstable spectrum in the framework of relativistic kinetic theory for arbitrary magnetic fields and particle distributions were unknown until now. In this paper, we give an example of such a calculation answering the question whether the finite thermal spreads of plasma electrons are able to suppress the fastest growing modes in the beam-plasma system. It is shown that nonrelativistic temperatures of Maxwellian plasmas can stabilize only the oblique instabilities of relativistic beam. On the contrary, non-Maxwellian tails typically found in laboratory beam-plasma experiments are able to substantially reduce the growth rate of the dominant longitudinal modes affecting the efficiency of turbulent plasma heating.

UR - http://www.scopus.com/inward/record.url?scp=84885045061&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=20455349

U2 - 10.1063/1.4823722

DO - 10.1063/1.4823722

M3 - Article

AN - SCOPUS:84885045061

VL - 20

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 9

M1 - 092123

ER -