dorsal/arxiv
View SchemaDeviations from the local field approximation in negative streamer heads
| Authors | Chao Li, W. J. M. Brok, Ute Ebert, J. J. A. M. van der Mullen |
|---|---|
| Categories | |
| ArXiv ID | physics/0702129 |
| URL | https://arxiv.org/abs/physics/0702129 |
| DOI | 10.1063/1.2748673 |
| Journal | J. Appl. Phys. 101, 123305 (2007) |
Abstract
Negative streamer ionization fronts in nitrogen under normal conditions are investigated both in a particle model and in a fluid model in local field approximation. The parameter functions for the fluid model are derived from swarm experiments in the particle model. The front structure on the inner scale is investigated in a 1D setting, allowing reasonable run-time and memory consumption and high numerical accuracy without introducing super-particles. If the reduced electric field immediately before the front is >= 50kV/(cm bar), solutions of fluid and particle model agree very well. If the field increases up to 200kV/(cm bar), the solutions of particle and fluid model deviate, in particular, the ionization level behind the front becomes up to 60% higher in the particle model while the velocity is rather insensitive. Particle and fluid model deviate because electrons with high energies do not yet fully run away from the front, but are somewhat ahead. This leads to increasing ionization rates in the particle model at the very tip of the front. The energy overshoot of electrons in the leading edge of the front actually agrees quantitatively with the energy overshoot in the leading edge of an electron swarm or avalanche in the same electric field.
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"abstract": "Negative streamer ionization fronts in nitrogen under normal conditions are\ninvestigated both in a particle model and in a fluid model in local field\napproximation. The parameter functions for the fluid model are derived from\nswarm experiments in the particle model. The front structure on the inner scale\nis investigated in a 1D setting, allowing reasonable run-time and memory\nconsumption and high numerical accuracy without introducing super-particles. If\nthe reduced electric field immediately before the front is \u003e= 50kV/(cm bar),\nsolutions of fluid and particle model agree very well. If the field increases\nup to 200kV/(cm bar), the solutions of particle and fluid model deviate, in\nparticular, the ionization level behind the front becomes up to 60% higher in\nthe particle model while the velocity is rather insensitive. Particle and fluid\nmodel deviate because electrons with high energies do not yet fully run away\nfrom the front, but are somewhat ahead. This leads to increasing ionization\nrates in the particle model at the very tip of the front. The energy overshoot\nof electrons in the leading edge of the front actually agrees quantitatively\nwith the energy overshoot in the leading edge of an electron swarm or avalanche\nin the same electric field.",
"arxiv_id": "physics/0702129",
"authors": [
"Chao Li",
"W. J. M. Brok",
"Ute Ebert",
"J. J. A. M. van der Mullen"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1063/1.2748673",
"journal_ref": "J. Appl. Phys. 101, 123305 (2007)",
"title": "Deviations from the local field approximation in negative streamer heads",
"url": "https://arxiv.org/abs/physics/0702129"
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