Macroscopic kink instabilities in toroidal relativistic beams

D. A. Spong; O. C. Eldridge; T. Kammash

doi:10.1016/0032-1028(77)90013-x

Macroscopic kink instabilities in toroidal relativistic beams

D. A. Spong, O. C. Eldridge, T. Kammash

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Abstract

The interaction of such beams with the shear Alfven modes of the background plasma has been examined and a class of low-frequency instabilities which are similar to the hydrodynamic kink instabilities of the current-carrying plasma have been found. However, for the case of a beam-plasma configuration, the spectrum of the Alfven modes is, in general, complex, which precludes the use of an energy principle. A normal mode approach is employed and both growth rates and real frequencies for n=1, m=1, 2, 3, 4 instabilities for various values of beam energy and nu _A/c have been calculated.

Original language	English
Article number	003
Pages (from-to)	817-838
Number of pages	22
Journal	Plasma Physics
Volume	19
Issue number	9
DOIs	https://doi.org/10.1016/0032-1028(77)90013-x
State	Published - 1977

Funding

research was supported by the United States Energy Research and De-and through a Graduate Participantship from Oak Ridge Associated

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abstract = "The interaction of such beams with the shear Alfven modes of the background plasma has been examined and a class of low-frequency instabilities which are similar to the hydrodynamic kink instabilities of the current-carrying plasma have been found. However, for the case of a beam-plasma configuration, the spectrum of the Alfven modes is, in general, complex, which precludes the use of an energy principle. A normal mode approach is employed and both growth rates and real frequencies for n=1, m=1, 2, 3, 4 instabilities for various values of beam energy and nu A/c have been calculated.",

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year = "1977",

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AU - Spong, D. A.

AU - Eldridge, O. C.

AU - Kammash, T.

PY - 1977

Y1 - 1977

N2 - The interaction of such beams with the shear Alfven modes of the background plasma has been examined and a class of low-frequency instabilities which are similar to the hydrodynamic kink instabilities of the current-carrying plasma have been found. However, for the case of a beam-plasma configuration, the spectrum of the Alfven modes is, in general, complex, which precludes the use of an energy principle. A normal mode approach is employed and both growth rates and real frequencies for n=1, m=1, 2, 3, 4 instabilities for various values of beam energy and nu A/c have been calculated.

AB - The interaction of such beams with the shear Alfven modes of the background plasma has been examined and a class of low-frequency instabilities which are similar to the hydrodynamic kink instabilities of the current-carrying plasma have been found. However, for the case of a beam-plasma configuration, the spectrum of the Alfven modes is, in general, complex, which precludes the use of an energy principle. A normal mode approach is employed and both growth rates and real frequencies for n=1, m=1, 2, 3, 4 instabilities for various values of beam energy and nu A/c have been calculated.

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ER -

Macroscopic kink instabilities in toroidal relativistic beams

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