Streamer branching rationalized by conformal mapping techniques.
Meulenbroek, B, Rocco, A and Ebert, U (2004) Streamer branching rationalized by conformal mapping techniques. Phys Rev E Stat Nonlin Soft Matter Phys, 69. ISSN 1539-3755
Meulenbroek04.pdf.pdf - Published Version
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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 modeled 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. Our solutions illustrate that branching is generic for the intricate head dynamics of streamers in the Lozansky-Firsov limit.
|Divisions :||Faculty of Health and Medical Sciences > Microbial and Cellular Sciences|
|Date :||June 2004|
|Identification Number :||10.1103/PhysRevE.69.067402|
|Additional Information :||Copyright 2004 The American Physical Society.|
|Depositing User :||Symplectic Elements|
|Date Deposited :||24 May 2012 11:55|
|Last Modified :||09 Jun 2014 13:37|
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