Physical Review Letters · 1984 · 1.6K citations · 7 references
EngineeringElectrical EngineeringPlasma PhysicsStochastic ModelingStochastic ProcessesAvalanche ProcessesDielectricsFractal GeometryStochastic Differential EquationsBreakdown CharacteristicsDielectric BreakdownElectrical BreakdownElectrical Breakdown StrengthFractal DimensionFractal Dimension TheoryFractal FeaturesRandom Fractals
It is shown that the simplest nontrivial stochastic model for dielectric breakdown naturally leads to fractal structures for the discharge pattern. Planar discharges are studied in detail and the results are compared with properly designed experiments.
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Thomas A. Witten, Leonard M. Sander · Physical review. B, Condensed matter · 1983 · 1.9K citations
D. Heylen · Electronics and Power · 1978 · 301 citations