Streaming instabilities driven by mildly relativistic proton beams in plasmas

M. E. Dieckmann, B. Eliasson, P. K. Shukla

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The interaction between relativistic ion beams,electrostatic waves and particles in plasmas is studied numerically. This beam-particle interaction is important for the acceleration of electrons above the threshold, where they can perform Fermi acceleration across shocks perpendicular to the magnetic field direction. The electrons form Bernstein–Greene–Kruskal (BGK) modes, which are unstable due to a sideband instability. This process heats the electrons to relativistic temperatures and the electrons finally attain a flat-top momentum distribution with exponentially decreasing tails of the momentum distribution function. A scaling law, depending on the ion beam speed, is found for the electrondistribution function. Furthermore, in the fully nonlinear phase, ion phase space vortices, or proton BGK modes are formed in the beam, which continue to interact with the electrons after the electron BGK modes have collapsed.
LanguageEnglish
Pages1394-1401
Number of pages8
JournalPhysics of Plasmas
Volume11
Issue number4
Early online date29 Mar 2004
DOIs
Publication statusPublished - Apr 2004

Fingerprint

proton beams
electrons
ion beams
process heat
momentum
electrostatic waves
particle interactions
sidebands
scaling laws
distribution functions
shock
vortices
thresholds
protons
magnetic fields
ions
interactions

Keywords

  • relativistic ion beams
  • electrostatic waves
  • ion phase space vortices
  • particle distribution function

Cite this

Dieckmann, M. E. ; Eliasson, B. ; Shukla, P. K. / Streaming instabilities driven by mildly relativistic proton beams in plasmas. In: Physics of Plasmas. 2004 ; Vol. 11, No. 4. pp. 1394-1401.
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Streaming instabilities driven by mildly relativistic proton beams in plasmas. / Dieckmann, M. E.; Eliasson, B.; Shukla, P. K.

In: Physics of Plasmas, Vol. 11, No. 4, 04.2004, p. 1394-1401.

Research output: Contribution to journalArticle

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