Stochastic and deterministic causes of streamer branching in liquid dielectrics
Streamer branching in liquid dielectrics is driven by stochastic and deterministic factors. The presence of stochastic causes of streamer branching such as inhomogeneities inherited from noisy initial states, impurities, or charge carrier density fluctuations is inevitable in any dielectric. A fully...
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| Format: | Article |
| Language: | en_US |
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American Institute of Physics (AIP)
2013
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| Online Access: | http://hdl.handle.net/1721.1/80813 https://orcid.org/0000-0003-2228-2347 |
| _version_ | 1826214075146698752 |
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| author | Jadidian, Jouya Zahn, Markus Lavesson, Nils Widlund, Ola Borg, Karl |
| author2 | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory |
| author_facet | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Jadidian, Jouya Zahn, Markus Lavesson, Nils Widlund, Ola Borg, Karl |
| author_sort | Jadidian, Jouya |
| collection | MIT |
| description | Streamer branching in liquid dielectrics is driven by stochastic and deterministic factors. The presence of stochastic causes of streamer branching such as inhomogeneities inherited from noisy initial states, impurities, or charge carrier density fluctuations is inevitable in any dielectric. A fully three-dimensional streamer model presented in this paper indicates that deterministic origins of branching are intrinsic attributes of streamers, which in some cases make the branching inevitable depending on shape and velocity of the volume charge at the streamer frontier. Specifically, any given inhomogeneous perturbation can result in streamer branching if the volume charge layer at the original streamer head is relatively thin and slow enough. Furthermore, discrete nature of electrons at the leading edge of an ionization front always guarantees the existence of a non-zero inhomogeneous perturbation ahead of the streamer head propagating even in perfectly homogeneous dielectric. Based on the modeling results for streamers propagating in a liquid dielectric, a gauge on the streamer head geometry is introduced that determines whether the branching occurs under particular inhomogeneous circumstances. Estimated number, diameter, and velocity of the born branches agree qualitatively with experimental images of the streamer branching. |
| first_indexed | 2024-09-23T15:59:06Z |
| format | Article |
| id | mit-1721.1/80813 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:59:06Z |
| publishDate | 2013 |
| publisher | American Institute of Physics (AIP) |
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| spelling | mit-1721.1/808132022-10-02T05:32:06Z Stochastic and deterministic causes of streamer branching in liquid dielectrics Jadidian, Jouya Zahn, Markus Lavesson, Nils Widlund, Ola Borg, Karl Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Jadidian, Jouya Jadidian, Jouya Zahn, Markus Streamer branching in liquid dielectrics is driven by stochastic and deterministic factors. The presence of stochastic causes of streamer branching such as inhomogeneities inherited from noisy initial states, impurities, or charge carrier density fluctuations is inevitable in any dielectric. A fully three-dimensional streamer model presented in this paper indicates that deterministic origins of branching are intrinsic attributes of streamers, which in some cases make the branching inevitable depending on shape and velocity of the volume charge at the streamer frontier. Specifically, any given inhomogeneous perturbation can result in streamer branching if the volume charge layer at the original streamer head is relatively thin and slow enough. Furthermore, discrete nature of electrons at the leading edge of an ionization front always guarantees the existence of a non-zero inhomogeneous perturbation ahead of the streamer head propagating even in perfectly homogeneous dielectric. Based on the modeling results for streamers propagating in a liquid dielectric, a gauge on the streamer head geometry is introduced that determines whether the branching occurs under particular inhomogeneous circumstances. Estimated number, diameter, and velocity of the born branches agree qualitatively with experimental images of the streamer branching. IEEE Dielectrics and Electrical Insulation Society IEEE Nuclear and Plasma Sciences Society 2013-09-19T19:27:11Z 2013-09-19T19:27:11Z 2013-08 2013-05 Article http://purl.org/eprint/type/JournalArticle 00218979 http://hdl.handle.net/1721.1/80813 Jadidian, Jouya, Markus Zahn, Nils Lavesson, Ola Widlund, and Karl Borg. “Stochastic and deterministic causes of streamer branching in liquid dielectrics.” Journal of Applied Physics 114, no. 6 (2013): 063301. © 2013 AIP Publishing LLC https://orcid.org/0000-0003-2228-2347 en_US http://dx.doi.org/10.1063/1.4816091 Journal of Applied Physics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Institute of Physics (AIP) Jouya Jadidian |
| spellingShingle | Jadidian, Jouya Zahn, Markus Lavesson, Nils Widlund, Ola Borg, Karl Stochastic and deterministic causes of streamer branching in liquid dielectrics |
| title | Stochastic and deterministic causes of streamer branching in liquid dielectrics |
| title_full | Stochastic and deterministic causes of streamer branching in liquid dielectrics |
| title_fullStr | Stochastic and deterministic causes of streamer branching in liquid dielectrics |
| title_full_unstemmed | Stochastic and deterministic causes of streamer branching in liquid dielectrics |
| title_short | Stochastic and deterministic causes of streamer branching in liquid dielectrics |
| title_sort | stochastic and deterministic causes of streamer branching in liquid dielectrics |
| url | http://hdl.handle.net/1721.1/80813 https://orcid.org/0000-0003-2228-2347 |
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