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Modeling of the Dielectric Breakdown Under Strong Magnetic Fields

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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) and random walker model for the case of external magnetic field. It is shown that fractal dimensionality of the discharge saturates with magnetic fields. It is conjectured that nonlinear current interaction is responsible for the experimentally observed “spider-legs” like streamer patterns.

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Authors and Affiliations

  1. Grenoble High Magnetic Fields Laboratory, Max-Planck-Institute für Festkorperforschung and CNRS, 25 Avenue des Martyrs, F-38042, Grenoble, France

    Y. Ben-Ezra, Yu. V. Pershin, Yu. A. Kaplunovsky, I. D. Vagner & P. Wyder

  2. .E.R.I.-Physics and Engineering Research Institute at Ruppin, Emek Hefer, 40250, Israel

    Y. Ben-Ezra & Yu. A. Kaplunovsky

  3. School of Physics and Astronomy, Tel Aviv University, Tel Aviv, 69978, Israel

    Y. Ben-Ezra

  4. B. I. Verkin Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, 310164, Kharkov, Ukraine

    Yu. V. Pershin

  5. Holon Academic Institute of Technology, 52 Golomb St., Holon, 58102, Israel

    Yu. V. Pershin & I. D. Vagner

Authors
  1. Y. Ben-Ezra
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  2. Yu. V. Pershin
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  3. Yu. A. Kaplunovsky
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  4. I. D. Vagner
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  5. P. Wyder
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Corresponding author

Correspondence to P. Wyder.

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Ben-Ezra, Y., Pershin, Y.V., Kaplunovsky, Y.A. et al. Modeling of the Dielectric Breakdown Under Strong Magnetic Fields. Journal of Statistical Physics 106, 653–662 (2002). https://doi.org/10.1023/A:1013714523664

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  • DOI: https://doi.org/10.1023/A:1013714523664

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