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Ionization fronts in planar dc discharge systems with high-ohmic electrode

Sh. Amiranashvili, S. V. Gurevich, and H.-G. Purwins

  • Institut für Angewandte Physik, Corrensstr. 2/4, D-48149 Münster, Germany

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Phys. Rev. E 71, 066404 – Published 20 June, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.066404

Abstract

Electric breakdown and ionization fronts are considered theoretically in a sandwichlike dc discharge system consisting of two plane-parallel electrodes and a gaseous gap in between. The key system feature is a high-ohmic cathode opposite to an ordinary metal anode. Such systems have received much attention from experimental studies because they naturally support current patterns. Using adiabatic description of electrons and two-scale expansion we demonstrate that in the low-current Townsend mode the discharge is governed by a two-component reaction-diffusion system. The latter provides quantitative system description on the macroscopic time scale (i.e., much larger than the ion travel time). The breakdown appears as an instability of the uniform overvoltage state. A seed current fluctuation triggers a shocklike ionization front that propagates along the discharge plane with constant speed (typically ∼104cm∕s). Depending on the cathode resistivity the front exhibits either monotonic or oscillatory behavior in space. Other breakdown features, such as damping transient oscillations of the global current, can also be found as solutions of the reaction-diffusion equations.

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Phys. Rev. E 71, 066404– Published 20 June, 2005
  • Received 19 January 2005

© 2005 American Physical Society

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