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Streamer branching rationalized by conformal mapping techniques.

Bernard Meulenbroek1, Andrea Rocco, Ute Ebert

  • 1CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 13, 2004
PubMed
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Spontaneous discharge channel branching is explained by a new mechanism. Analytical results show that streamer head dynamics in high fields inherently lead to branching, a common but poorly understood phenomenon.

Area of Science:

  • Plasma physics
  • Electrodynamics
  • Nonlinear dynamics

Background:

  • Spontaneous branching of discharge channels is a common observation in various physical phenomena.
  • The underlying mechanisms driving this branching behavior remain poorly understood.
  • Recent simulations proposed a novel branching mechanism in continuous discharge models.

Purpose of the Study:

  • To provide analytical insights into the branching mechanism of discharge channels.
  • To investigate streamer dynamics in the Lozansky-Firsov limit.
  • To confirm the generic nature of branching in streamer head dynamics.

Main Methods:

  • Analytical modeling of streamers as moving equipotential ionization fronts in the Lozansky-Firsov limit.
  • Application of conformal mapping techniques to simplify the dynamical problem.

Related Experiment Videos

  • Reduction of the complex dynamics to a finite set of nonlinear ordinary differential equations.

    • Main Results:

    • Analytical solutions were derived for streamer dynamics in the specified limit.
    • The study confirms that branching is an intrinsic characteristic of streamer head dynamics.
    • The intricate head dynamics were shown to generically lead to branching behavior.

    Conclusions:

    • The proposed branching mechanism provides a theoretical explanation for spontaneous discharge channel formation.
    • Streamer dynamics in the Lozansky-Firsov limit inherently favor branching.
    • This work offers a deeper understanding of a fundamental phenomenon in plasma physics.