dorsal/arxiv
View SchemaStreamer Propagation as a Pattern Formation Problem: Planar Fronts
| Authors | Ute Ebert, Wim van Saarloos, Christiane Caroli |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9702005 |
| URL | https://arxiv.org/abs/patt-sol/9702005 |
| DOI | 10.1103/PhysRevLett.77.4178 |
| Journal | Phys. Rev. Let. 77, 4178 (1996) |
Abstract
Streamers often constitute the first stage of dielectric breakdown in strong electric fields: a nonlinear ionization wave transforms a non-ionized medium into a weakly ionized nonequilibrium plasma. New understanding of this old phenomenon can be gained through modern concepts of (interfacial) pattern formation. As a first step towards an effective interface description, we determine the front width, solve the selection problem for planar fronts and calculate their properties. Our results are in good agreement with many features of recent three-dimensional numerical simulations.
{
"annotation_id": "2f63216b-698a-4d62-b854-9953c005dd99",
"date_created": "2026-03-02T18:00:28.858000Z",
"date_modified": "2026-03-02T18:00:28.858000Z",
"file_hash": "adde2cdce7d3047bf651c0d0cdc9922a9585cb8f6d32956311108f32a7afa832",
"private": false,
"record": {
"abstract": "Streamers often constitute the first stage of dielectric breakdown in strong\nelectric fields: a nonlinear ionization wave transforms a non-ionized medium\ninto a weakly ionized nonequilibrium plasma. New understanding of this old\nphenomenon can be gained through modern concepts of (interfacial) pattern\nformation. As a first step towards an effective interface description, we\ndetermine the front width, solve the selection problem for planar fronts and\ncalculate their properties. Our results are in good agreement with many\nfeatures of recent three-dimensional numerical simulations.",
"arxiv_id": "patt-sol/9702005",
"authors": [
"Ute Ebert",
"Wim van Saarloos",
"Christiane Caroli"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.77.4178",
"journal_ref": "Phys. Rev. Let. 77, 4178 (1996)",
"title": "Streamer Propagation as a Pattern Formation Problem: Planar Fronts",
"url": "https://arxiv.org/abs/patt-sol/9702005"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "06b4e1f1-503b-4b4f-9137-28d231341d0e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}