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Related Experiment Videos

Stability of negative ionization fronts: Regularization by electric screening?

Manuel Arrayás1, Ute Ebert

  • 1Universidad Rey Juan Carlos, Departmento de Física, Tulipán s/n, 28933, Móstoles, Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2004
PubMed
Summary

A reduced model explains streamer branching by investigating how electric screening regularizes ionization fronts. The study reveals how wave-vector affects growth rates, providing physical insights into plasma physics.

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Moving-boundary approximation for curved streamer ionization fronts: numerical tests.

Physical review. E, Statistical, nonlinear, and soft matter physics·2009

Area of Science:

  • Plasma Physics
  • Computational Physics

Background:

  • Streamer propagation models require regularization for accuracy.
  • Spontaneous branching in streamers is a key phenomenon.
  • Interfacial models offer a reduced approach to streamer dynamics.

Purpose of the Study:

  • Investigate the regularization of transversal Fourier modes in planar ionization fronts.
  • Analyze the role of electric screening length in streamer propagation.
  • Determine the dispersion relation for ionization fronts.

Main Methods:

  • Numerical calculation of the dispersion relation for a fixed electric field.
  • Derivation of analytical asymptotes for growth rates based on wave-vector.
  • Analysis of transversal Fourier modes and electric screening effects.

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Main Results:

  • The electric screening length regularizes transversal Fourier modes of ionization fronts.
  • Growth rate s(k) shows linear dependence on wave-vector k for small k.
  • Growth rate s(k) saturates at a plateau value for large k.

Conclusions:

  • The electric screening length is crucial for regularizing streamer propagation models.
  • The derived dispersion relation and its asymptotic behaviors offer physical interpretations.
  • This work advances the understanding of spontaneous branching in streamers.