Streamer branching rationalized by conformal mapping techniques

Details Streamer branching rationalized by conformal mapping techniques Streamer branching rationalized by conformal mapping techniques

2003-05-27

arxiv.org/abs/physics/0305112v2

Phys. Rev. E 69, 067402 (2004)

Physics

Plasma Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.69.067402

Spontaneous branching of discharge channels is frequently observed, but not well understood. We recently proposed a new branching mechanism based on simulations of a simple continuous discharge model in high fields. We here present analytical results for such streamers in the Lozansky-Firsov limit where they can be modelled as moving equipotential ionization fronts. This model can be analyzed by conformal mapping techniques which allow the reduction of the dynamical problem to finite sets of nonlinear ordinary differential equations. The solutions illustrate that branching is generic for the intricate head dynamics of streamers in the Lozansky-Firsov-limit.

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