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

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