Streaming instabilities driven by mildly relativistic proton beams in plasmas

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

doi:10.1063/1.1649996

Streaming instabilities driven by mildly relativistic proton beams in plasmas

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

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	1394-1401
Number of pages	8
Journal	Physics of Plasmas
Volume	11
Issue number	4
Early online date	29 Mar 2004
DOIs	https://doi.org/10.1063/1.1649996
Publication status	Published - 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. (2004). Streaming instabilities driven by mildly relativistic proton beams in plasmas. Physics of Plasmas, 11(4), 1394-1401. https://doi.org/10.1063/1.1649996

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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Dieckmann, ME, Eliasson, B & Shukla, PK 2004, 'Streaming instabilities driven by mildly relativistic proton beams in plasmas', Physics of Plasmas, vol. 11, no. 4, pp. 1394-1401. https://doi.org/10.1063/1.1649996

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 journal › Article

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AB - 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.

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