The onset of tree-like patterns in negative streamers

Details The onset of tree-like patterns in negative streamers The onset of tree-like patterns in negative streamers

2012-03-30

arxiv.org/abs/1203.6790v1

Physics

Plasma Physics

Scientific paper

We present the first analytical and numerical studies of the initial stage of the branching process based on an interface dynamics streamer model in the fully 3-D case. This model follows from fundamental considerations on charge production by impact ionization and balance laws, and leads to an equation for the evolution of the interface between ionized and non-ionized regions. We compare some experimental patterns with the numerically simulated ones, and give an explicit expression for the growth rate of harmonic modes associated with the perturbation of a symmetrically expanding discharge. By means of full numerical simulation, the splitting and formation of characteristic tree-like patterns of electric discharges is observed and described.

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