dorsal/arxiv
View SchemaStreamer branching rationalized by conformal mapping techniques
| Authors | B. Meulenbroek, A. Rocco, U. Ebert |
|---|---|
| Categories | |
| ArXiv ID | physics/0305112 |
| URL | https://arxiv.org/abs/physics/0305112 |
| DOI | 10.1103/PhysRevE.69.067402 |
| Journal | Phys. Rev. E 69, 067402 (2004) |
Abstract
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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"abstract": "Spontaneous branching of discharge channels is frequently observed, but not\nwell understood. We recently proposed a new branching mechanism based on\nsimulations of a simple continuous discharge model in high fields. We here\npresent analytical results for such streamers in the Lozansky-Firsov limit\nwhere they can be modelled as moving equipotential ionization fronts. This\nmodel can be analyzed by conformal mapping techniques which allow the reduction\nof the dynamical problem to finite sets of nonlinear ordinary differential\nequations. The solutions illustrate that branching is generic for the intricate\nhead dynamics of streamers in the Lozansky-Firsov-limit.",
"arxiv_id": "physics/0305112",
"authors": [
"B. Meulenbroek",
"A. Rocco",
"U. Ebert"
],
"categories": [
"physics.plasm-ph",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.69.067402",
"journal_ref": "Phys. Rev. E 69, 067402 (2004)",
"title": "Streamer branching rationalized by conformal mapping techniques",
"url": "https://arxiv.org/abs/physics/0305112"
},
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