Theory of relativistic electron holes in hot plasmas

B. Eliasson, P.K. Shukla

Research output: Contribution to journal › Article

16 Citations (Scopus)

Abstract

We present a theory for finite-amplitude relativistic electron holes, which are localized Bernstein–Greene–Kruskal (BGK) solutions characterized by a trapped population of electrons moving with the electron hole. We find that the relativistic effects can drastically modify the electron hole, which becomes wider and is associated with a larger electrostatic potential, accelerating the electrons to highly relativistic energies. The theory has relevance for understanding the properties of strong localized electric fields in high-energy laser-plasma experiments and in supernovae remnants, where relativistic electron holes are a natural product of streaming instabilities.
LanguageEnglish
Pages237–242
Number of pages6
JournalPhysics Letters A
Volume338
Issue number1-4
DOIs
Publication statusPublished - 6 Jun 2005

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high temperature plasmas
supernova remnants
relativistic effects
laser plasmas
electrons
electrostatics
electric fields
energy
products

Keywords

  • relativistic
  • electron holes

Cite this

Eliasson, B. ; Shukla, P.K. / Theory of relativistic electron holes in hot plasmas. In: Physics Letters A. 2005 ; Vol. 338, No. 1-4. pp. 237–242.
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Eliasson, B & Shukla, PK 2005, 'Theory of relativistic electron holes in hot plasmas' Physics Letters A, vol. 338, no. 1-4, pp. 237–242. https://doi.org/10.1016/j.physleta.2005.02.047

Theory of relativistic electron holes in hot plasmas. / Eliasson, B.; Shukla, P.K.

In: Physics Letters A, Vol. 338, No. 1-4, 06.06.2005, p. 237–242.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Theory of relativistic electron holes in hot plasmas

AU - Eliasson, B.

AU - Shukla, P.K.

PY - 2005/6/6

Y1 - 2005/6/6

N2 - We present a theory for finite-amplitude relativistic electron holes, which are localized Bernstein–Greene–Kruskal (BGK) solutions characterized by a trapped population of electrons moving with the electron hole. We find that the relativistic effects can drastically modify the electron hole, which becomes wider and is associated with a larger electrostatic potential, accelerating the electrons to highly relativistic energies. The theory has relevance for understanding the properties of strong localized electric fields in high-energy laser-plasma experiments and in supernovae remnants, where relativistic electron holes are a natural product of streaming instabilities.

AB - We present a theory for finite-amplitude relativistic electron holes, which are localized Bernstein–Greene–Kruskal (BGK) solutions characterized by a trapped population of electrons moving with the electron hole. We find that the relativistic effects can drastically modify the electron hole, which becomes wider and is associated with a larger electrostatic potential, accelerating the electrons to highly relativistic energies. The theory has relevance for understanding the properties of strong localized electric fields in high-energy laser-plasma experiments and in supernovae remnants, where relativistic electron holes are a natural product of streaming instabilities.

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Eliasson B, Shukla PK. Theory of relativistic electron holes in hot plasmas. Physics Letters A. 2005 Jun 6;338(1-4):237–242. https://doi.org/10.1016/j.physleta.2005.02.047

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