Stability of negative ionization fronts: Regularization by electric screening?

M. Arrayas, U. Ebert

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31 Citations (Scopus)
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Abstract

We recently have proposed that a reduced interfacial model for streamer propagation is able to explain spontaneous branching. Such models require regularization. In the present paper we investigate how transversal Fourier modes of a planar ionization front are regularized by the electric screening length. For a fixed value of the electric field ahead of the front we calculate the dispersion relation numerically. These results guide the derivation of analytical asymptotes for arbitrary fields: for small wave-vector k, the growth rate s(k) grows linearly with k, for large k, it saturates at some positive plateau value. We give a physical interpretation of these results.
Original languageEnglish
Article number036214
Pages (from-to)036214-1/10
Number of pages10
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number3
DOIs
Publication statusPublished - 2004

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