Branching Patterns and Stepped Leaders in an Electric-Circuit Model for Creeping Discharge

2010/04/07 by Hidetsugu Sakaguchi, Sakaguchi, Hidetsugu, Sahim M. Kourkouss +1
Engineering · Materials Science · Physics and Astronomy · #Aerosol Filtration and Electrostatic Precipitation #High voltage insulation and dielectric phenomena #Lightning and Electromagnetic Phenomena #nlin.AO #nlin.PS #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1004.1021

5 pages, 5 figures

arxiv created 2010/04/07 · arxiv updated 2010/04/08

Abstract

We construct a two-dimensional electric circuit model for creeping discharge. Two types of discharge, surface corona and surface leader, are modeled by a two-step function of conductance. Branched patterns of surface leaders surrounded by the surface corona appear in numerical simulation. The fractal dimension of branched discharge patterns is calculated by changing voltage and capacitance. We find that surface leaders often grow stepwise in time, as is observed in lightning leaders of thunder.

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