6 research outputs found
Branching of negative streamers in free flight
We recently have shown that a negative streamer in a sufficiently high
homogeneous field can branch spontaneously due to a Laplacian instability,
rather than approach a stationary mode of propagation with fixed radius. In our
previous simulations, the streamer started from a wide initial ionization seed
on the cathode. We here demonstrate in improved simulations that a streamer
emerging from a single electron branches in the same way. In fact, though the
evolving streamer is much more narrow, it branches after an even shorter
propagation distance.Comment: 4 pages, 3 figure
Stability of negative ionization fronts: regularization by electric screening?
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.Comment: 11 pages, 2 figure