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Asymmetric one-dimensional slow electron holes.

I H Hutchinson1

  • 1Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review. E
|December 24, 2021
PubMed
Summary

Asymmetric electron holes in plasma, driven by trapped electrons, are theoretically constructed. Stable configurations require specific ion velocity distributions for equilibrium, impacting potential drop.

Area of Science:

  • Plasma Physics
  • Nonlinear Phenomena
  • Kinetic Theory

Background:

  • Slow solitary positive-potential peaks, known as electron holes, arise from trapped electrons.
  • These structures can exhibit asymmetry due to ion velocity distributions.
  • Understanding their formation and stability is crucial in plasma physics.

Purpose of the Study:

  • To theoretically construct asymmetric electron holes.
  • To find consistent solutions to the Vlasov-Poisson equation for various ion velocity distributions.
  • To analyze the conditions for stable electron hole equilibria.

Main Methods:

  • Theoretical analysis using the one-dimensional Vlasov-Poisson equation.
  • Investigation of trapped electron deficit dynamics.

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  • Examination of ion reflection forces on electron holes.

    • Main Results:

    • Fully consistent solutions for asymmetric electron holes were derived.
    • A unique discrete slow hole velocity exists for equilibrium.
    • Stability requires a local minimum in the ion velocity distribution.

    Conclusions:

    • Asymmetric electron holes can be theoretically constructed.
    • Equilibrium and stability depend critically on ion velocity distribution properties.
    • The potential drop across stable holes with Maxwellian electrons is quantified.