Nonlinear saturation of the Weibel instability in a dense Fermi plasma

Fernando Haas, Padma Shukla, Bengt Eliasson

Research output: Contribution to journalArticle

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Abstract

We present an investigation for the generation of intense magnetic fields in dense plasmas with an anisotropic electron Fermi–Dirac distribution. For this purpose, we use a new linear dispersion relation for transverse waves in the Wigner–Maxwell dense quantum plasma system. Numerical analysis of the dispersion relation reveals the scaling of the growth rate as a function of the Fermi energy and the temperature anisotropy. The nonlinear saturation level of the magnetic fields is found through fully kinetic simulations, which indicates that the final amplitudes of the magnetic fields are proportional to the linear growth rate of the instability. The present results are important for understanding the origin of intense magnetic fields in dense Fermionic plasmas, such as those in the next-generation intense laser–solid density plasma experiments.
LanguageEnglish
Pages251-258
Number of pages8
JournalJournal of Plasma Physics
Volume75
Issue number02
DOIs
Publication statusPublished - Apr 2009

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Weibel instability
saturation
dense plasmas
magnetic fields
transverse waves
plasma density
numerical analysis
scaling
anisotropy
kinetics
lasers
electrons
simulation
temperature
energy

Keywords

  • weibel instability
  • Fermi plasma
  • nonlinear saturation
  • dense

Cite this

Haas, Fernando ; Shukla, Padma ; Eliasson, Bengt. / Nonlinear saturation of the Weibel instability in a dense Fermi plasma. In: Journal of Plasma Physics. 2009 ; Vol. 75, No. 02. pp. 251-258.
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Nonlinear saturation of the Weibel instability in a dense Fermi plasma. / Haas, Fernando; Shukla, Padma; Eliasson, Bengt.

In: Journal of Plasma Physics, Vol. 75, No. 02, 04.2009, p. 251-258.

Research output: Contribution to journalArticle

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