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Spatiotemporal patterns in a dc semiconductor-gas-discharge system: Stability analysis and full numerical solutions

Ismail R. Rafatov1,2, Danijela D. Šijačić2,3, and Ute Ebert2,4,*

  • 1Department of Physics, Middle East Technical University, TR-06531 Ankara, Turkey
  • 2Center for Mathematics and Computer Science (CWI), P.O. Box 94079, 1090 GB Amsterdam, The Netherlands
  • 3Department of Applied Earth Sciences, Delft University Techn., The Netherlands
  • 4Department of Physics, Eindhoven University Techn., The Netherlands

  • *rafatov@metu.edu.tr, ebert@cwi.nl
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Phys. Rev. E 76, 036206 – Published 12 September, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.036206

Abstract

A system very similar to a dielectric barrier discharge, but with a simple stationary dc voltage, can be realized by sandwiching a gas discharge and a high-ohmic semiconductor layer between two planar electrodes. In experiments this system forms spatiotemporal and temporal patterns spontaneously, quite similarly to, e.g., Rayleigh-Bénard convection. Here it is modeled with a simple discharge model with space charge effects, and the semiconductor is approximated as a linear conductor. In previous work, this model has reproduced the phase transition from homogeneous stationary to homogeneous oscillating states semiquantitatively. In the present work, the formation of spatial patterns is investigated through linear stability analysis and through numerical simulations of the initial value problem; the methods agree well. They show the onset of spatiotemporal patterns for high semiconductor resistance. The parameter dependence of temporal or spatiotemporal pattern formation is discussed in detail.

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Phys. Rev. E 76, 036206– Published 12 September, 2007
  • Received 25 July 2006

© 2007 American Physical Society

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