Spontaneous Branching of Anode-Directed Streamers between Planar Electrodes

Details Spontaneous Branching of Anode-Directed Streamers between Planar Electrodes Spontaneous Branching of Anode-Directed Streamers between Planar Electrodes

2001-11-19

arxiv.org/abs/nlin/0111043v2

Phys. Rev. Lett. 88, 174502 (2002), see also http://focus.aps.org/v9/st19.html and http://www.nature.com/nsu/020408/020408-4

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 6 figures, submitted to PRL on Nov. 16, 2001, revised version of March 10, 2002

Scientific paper

10.1103/PhysRevLett.88.174502

Non-ionized media subject to strong fields can become locally ionized by penetration of finger-shaped streamers. We study negative streamers between planar electrodes in a simple deterministic continuum approximation. We observe that for sufficiently large fields, the streamer tip can split. This happens close to Firsov's limit of `ideal conductivity'. Qualitatively the tip splitting is due to a Laplacian instability quite like in viscous fingering. For future quantitative analytical progress, our stability analysis of planar fronts identifies the screening length as a regularization mechanism.

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