The Hose Instability Dispersion Relation

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1964 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 5, pages 1,371-1,386 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Weinberg, S.;

doi: 10.1063/1.1704072

The Hose Instability Dispersion Relation

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Abstract

The dispersion relation is obtained for the ``hose'' instability in a modulated beam of charged particles traveling through a finite ohmic plasma channel. For a relativistic beam, the low-frequency mode obeys a dispersion relation of the same form as for the unmodulated beam, but it involves a constant which will have to be obtained by machine computation. For large enough modulation frequency the dispersion relation is identical to that for an unmodulated beam.

Related Organizations

University of California, Berkeley
United States

Keywords

mechanics of particles and systems

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