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Weibel instability beyond bi-Maxwellian anisotropy.

T Silva1, B Afeyan2, L O Silva1

  • 1GoLP/Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisbon, Portugal.

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The shape of non-Maxwellian velocity distributions significantly impacts Weibel instability and magnetic field generation. Changes in distribution shape alter the wave vector direction, requiring deeper analysis beyond temperature anisotropy.

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Area of Science:

  • Plasma physics
  • Astrophysical plasma dynamics
  • Laser-plasma interactions

Background:

  • The Weibel instability is crucial for generating magnetic fields in plasmas.
  • Anisotropic velocity distribution functions (VDFs) are common in astrophysical and laboratory plasmas.
  • Standard models often assume Maxwellian VDFs, which may not capture complex plasma behaviors.

Purpose of the Study:

  • To investigate the influence of non-Maxwellian VDF shapes on Weibel instability growth.
  • To determine how VDF shape affects the self-generated magnetic fields.
  • To explore implications for laser-plasma interaction models.

Main Methods:

  • Theoretical analysis of VDFs beyond Maxwellian.
  • Investigating the wave vector of maximum growth rate for different VDF shapes.
  • Simulating laser-plasma interaction scenarios with non-Maxwellian VDFs.

Main Results:

  • The direction of the maximum growth rate wave vector is sensitive to the VDF shape.
  • Non-Maxwellian VDFs lead to different magnetic field evolution compared to Maxwellian VDFs.
  • Specific laser-plasma interaction models exhibit unique Weibel-generated magnetic field characteristics.

Conclusions:

  • The shape of anisotropic VDFs is a critical factor in Weibel instability and magnetic field generation.
  • Characterizing magnetic fields solely by temperature anisotropy ratio is insufficient for non-Maxwellian VDFs.
  • Further investigation into non-Maxwellian VDFs is needed for accurate modeling of laser-plasma and astrophysical phenomena.