Asymptotic solutions for a continuum model of a DC gas discharge incavities with different geometry

Validación de un método numérico espectral de Chebyshev para una descarga de gas de CC mediante soluciones asintóticas en cavidades con diferente geometría

Authors

  • Leonardo Córdova Castillo Instituto Energías Renovables, Universidad Nacional Autónoma de México
  • José Manuel Olvera Orozco Instituto Energías Renovables, Universidad Nacional Autónoma de México
  • Sergio Cuevas García Instituto Energías Renovables, Universidad Nacional Autónoma de México
  • Aldo Figueroa Lara Conacyt - Centro de Investigación en Ciencias-UAEM
  • Federico Vazquez Hurtado Centro de Investigación en Ciencias (CInC), Universidad Autónoma del Estado de Morelos

DOI:

https://doi.org/10.31349/RevMexFis.68.051502

Keywords:

DC gas discharge, electric potential, Avogadro’s number

Abstract

Analytical solutions for a continuum model of a DC gas discharge were obtained by asymptotic approximations. The solutions are one-dimensional and stationary. Three different cavity configurations of electrode pairs were considered, namely, parallel flat plates, concentric cylinders and concentric spheres. The asymptotic approximations consider nonlinear effects that are present in the dynamics of the plasma which are neglected in most of analytical solutions found in the literature. The obtained solutions determine the distribution of positively and negatively charged particles, as well as the electric potential along the space domain. Analytical results agree quantitatively with results from a spectral numerical solution developed for validation purposes. Such agreement was possible in a regime where the rate of charged particle production was assumed to be very small. Finally the limits of this regime are reported.

Author Biography

Federico Vazquez Hurtado, Centro de Investigación en Ciencias (CInC), Universidad Autónoma del Estado de Morelos

Federico Vazquez currently works at the Department of Physics, Universidad Autónoma del Estado de Morelos. Federico does research in Thermodynamics, Plasma Physics and Fluid Dynamics. Their current project is 'Transport phenomena when going from the macro to the nanometric length scale'.

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Published

2022-08-16

How to Cite

[1]
L. Córdova Castillo, J. M. Olvera Orozco, S. . Cuevas García, A. . Figueroa Lara, and F. Vazquez Hurtado, “Asymptotic solutions for a continuum model of a DC gas discharge incavities with different geometry: Validación de un método numérico espectral de Chebyshev para una descarga de gas de CC mediante soluciones asintóticas en cavidades con diferente geometría”, Rev. Mex. Fís., vol. 68, no. 5 Sep-Oct, pp. 051502 1–, Aug. 2022.

Issue

Vol. 68 No. 5 Sep-Oct (2022): Revista Mexicana de Física

Section

15 Plasma Physics

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Copyright (c) 2022 Leonardo Córdova Castillo, José Manuel Olvera Orozco, Sergio Cuevas García, Aldo Figueroa Lara, Federico Vazquez Hurtado

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