# Electric-discharge contour-dynamics model: the effects of curvature and finite conductivity.

@article{Arrays2011ElectricdischargeCM, title={Electric-discharge contour-dynamics model: the effects of curvature and finite conductivity.}, author={Manuel Array{\'a}s and Marco Antonio Fontelos}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2011}, volume={84 2 Pt 2}, pages={ 026404 } }

In this paper we present the complete derivation of the effective contour model for electrical discharges which appears as the asymptotic limit of the minimal streamer model for the propagation of electric discharges, when the electron diffusion is small. It consists of two integro-differential equations defined at the boundary of the plasma region: one for the motion and a second equation for the net charge density at the interface. We have computed explicit solutions with cylindrical symmetry…

## 7 Citations

Effects of numerical and physical anisotropic diffusion on branching phenomena of negative-streamer dynamics

- Physics
- 2012

This paper is a contribution to the fluid modelling and simulation of the spontaneous branching of an initial mono-filamentary negative streamer propagating in molecular nitrogen at atmospheric…

Streamer discharges as advancing imperfect conductors: inhomogeneities in long ionized channels

- Physics
- 2017

A major obstacle for the understanding of long electrical discharges is the complex dynamics of streamer coronas, formed by many thin conducting filaments. Building macroscopic models for these…

Onset of treelike patterns in negative streamers.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

Analytical and numerical studies of the initial stage of the branching process based on an interface dynamics streamer model in the fully three-dimensional case are presented and the splitting and formation of characteristic treelike patterns of electric discharges are observed.

Streamer propagation in non-uniform gaps at ambient atmospheric air pressures

- PhysicsJournal of Plasma Physics
- 2012

Abstract The streamer propagation in point-plane, non-uniform gaps under high applied electric fields, prior to the impact of primary streamer on cathode, is analyzed. The configuration used is an…

Minimization of instabilities in growing interfaces: a variational approach.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

A variational approach is employed which enables one to systematically search for the ideal conditions under which the patterns grow, but where interfacial deformations are efficiently minimized.

Wavelength selection in Hele-Shaw flows: a maximum-amplitude criterion.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

This work performs a linear stability analysis of the radial Hele-Shaw flow system that takes into account the combined action of viscous normal stresses and wetting effects and introduces an alternative selection criterion for which the selected wavelength is determined by the maximum of the interfacial perturbation amplitude.

Initiation mechanism of a positive streamer in pressurized carbon dioxide up to liquid and supercritical phases with nanosecond pulsed voltages

- Physics
- 2012

In this work, the initiation process of an electrical discharge in pressurized carbon dioxide up to the liquid and supercritical phases was investigated using Schlieren and photomultiplier…

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