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Physics of Plasmas / Volume 15 / Issue 6 / ARTICLES / Basic Plasma Phenomena, Waves, Instabilities

Phys. Plasmas 15, 062107 (2008); doi:10.1063/1.2918673 (9 pages)

Streaming instabilities of intense charged particle beams propagating along a solenoidal magnetic field in a background plasma

Edward A. Startsev, Ronald C. Davidson, and Mikhail Dorf

Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA

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(Received 22 January 2008; accepted 11 April 2008; published online 11 June 2008)

Streaming instabilities of intense charged particle beams propagating along a solenoidal magnetic field in a background plasma are studied analytically and numerically. It is shown that the growth rate of the electromagnetic Weibel instability is modified by a relatively weak solenoidal magnetic field such that ωce>βbωpe, where ωce is the electron gyrofrequency, ωpe is the electron plasma frequency, and βb is the ion-beam velocity relative to the speed of light. Moreover, the Weibel instability is limited to very small propagation angles and long longitudinal wavelengths satisfying k∥2⪡k⊥2 and c2k∥2⪡ωpb2ωpi2/(ωpb2+ωpi2), where ωpb and ωpi are the plasma frequencies of the beam ions and the background plasma ions, respectively. For shorter longitudinal wavelengths, the electrostatic lower-hybrid instability becomes dominant. In this paper, the growth rates of various electrostatic beam-plasma instabilities and the electromagnetic Weibel instability are compared, and the space-time development of the modified two-stream instability is studied in detail and compared with numerical simulations.

© 2008 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. GENERAL DISPERSION RELATION AND THE ELECTROMAGNETIC FILAMENTATION (WEIBEL) INSTABILITY FOR B0 ≠ 0
  3. ELECTROSTATIC MODIFIED TWO-STREAM INSTABILITY
  4. NUMERICAL SOLUTIONS TO DISPERSION RELATIONS
  5. SPACE-TIME DEVELOPMENT OF ELECTROSTATIC MODIFIED TWO-STREAM INSTABILITY
  6. CONCLUSIONS

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KEYWORDS and PACS

Keywords

ion beams, plasma instability, plasma-beam interactions, solenoids

PACS

  • 52.35.Qz

    Microinstabilities (ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron, etc.)

  • 52.40.Mj

    Particle beam interactions in plasmas

ARTICLE DATA

Permalink
http://link.aip.org/link/doi/10.1063/1.2918673

PUBLICATION DATA

ISSN:

1070-664X (print)  
1089-7674 (online)

Publisher:

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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