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24 April 2024
 
  » arxiv » nlin.PS/0111043

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Spontaneous Branching of Anode-Directed Streamers between Planar Electrodes
Manuel Arrayas ; Ute Ebert ; Willem Hundsdorfer ;
Date 19 Nov 2001
Journal Phys. Rev. Lett. 88, 174502 (2002), see also http://focus.aps.org/v9/st19.html and http://www.nature.com/nsu/020408/020408-4.html
Subject Pattern Formation and Solitons; Plasma Physics; Materials Science | nlin.PS cond-mat.mtrl-sci physics.plasm-ph
AffiliationCWI Amsterdam, Instituut-Lorentz Leiden
AbstractNon-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.
Source arXiv, nlin.PS/0111043
Other source [GID 525927] pmid12005763
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