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
        }
}
  • M. Arrayás, M. Fontelos
  • Published 2 March 2011
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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… 
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