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

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

2010-04-07

arxiv.org/abs/1004.1021v1

Nonlinear Sciences

Pattern Formation and Solitons

5 pages, 5 figures

Scientific paper

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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