dorsal/arxiv
View SchemaMagnetic Fractal Dimensionality of the Dielectric Breakdown Under Strong Magnetic Fields
| Authors | Y. Ben-Ezra, Yurij V. Pershin, I. D. Vagner, P. Wyder |
|---|---|
| Categories | |
| ArXiv ID | physics/0005002 |
| URL | https://arxiv.org/abs/physics/0005002 |
Abstract
The formation of breakdown pattern on an insulating surface under the influence of a transverse magnetic field is theoretically investigated. We have generalized the Dielectric Breakdown Model (DBM) for the case of external magnetic field. Concept of the Magnetic Fractal Dimensionality (MFD) is introduced and its universality is demonstrated. It is shown that MFD saturates with magnetic fields. The magnetic field dependence of the streamer curvature is obtained. It is conjectured that nonlinear current interaction is responsible for the experimentally observed 'spider-legs' like streamer patterns.
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"date_created": "2026-03-02T18:00:32.286000Z",
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"abstract": "The formation of breakdown pattern on an insulating surface under the\ninfluence of a transverse magnetic field is theoretically investigated. We have\ngeneralized the Dielectric Breakdown Model (DBM) for the case of external\nmagnetic field. Concept of the Magnetic Fractal Dimensionality (MFD) is\nintroduced and its universality is demonstrated. It is shown that MFD saturates\nwith magnetic fields. The magnetic field dependence of the streamer curvature\nis obtained. It is conjectured that nonlinear current interaction is\nresponsible for the experimentally observed \u0027spider-legs\u0027 like streamer\npatterns.",
"arxiv_id": "physics/0005002",
"authors": [
"Y. Ben-Ezra",
"Yurij V. Pershin",
"I. D. Vagner",
"P. Wyder"
],
"categories": [
"physics.plasm-ph",
"physics.comp-ph"
],
"title": "Magnetic Fractal Dimensionality of the Dielectric Breakdown Under Strong Magnetic Fields",
"url": "https://arxiv.org/abs/physics/0005002"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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