Contour dynamics model for electric discharges
M. Array\'as, M. A. Fontelos, C. Jim\'enez
TL;DR
This paper develops and analyzes a contour dynamics model for electric discharges, derived as a limit of the minimal streamer model, and studies pattern formation and propagation characteristics.
Contribution
It introduces a novel contour dynamics model for electric discharges based on asymptotic analysis of the minimal streamer model, focusing on small electron diffusion.
Findings
Dispersion relation for non-planar 2-D discharges calculated
Finger-like pattern development and propagation analyzed
Main features of discharge patterns quantified
Abstract
A contour dynamics model for electrical discharges is obtained and analyzed. The model is deduced as the asymptotic limit of the minimal streamer model for the propagation of electric discharges, in the limit of small electron diffusion. The dispersion relation for a non planar 2-D discharge is calculated. The development and propagation of finger-like patterns are studied and their main features quantified.
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