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Starting from the minimal model for the electrically interacting particledensities in negative streamer discharges, we derive a moving boundaryapproximation for the ionization fronts. The boundary condition on the movingfront is found to be of 'kinetic undercooling' type. The boundaryapproximation, whose first results have been published in [Meulenbroek et al.,PRL 95, 195004 (2005)], is then tested against 2-dimensional simulations of thedensity model. The results suggest that our moving boundary approximationadequately represents the essential dynamics of negative streamer fronts.

Construction and test of a moving boundary model for negative streamer discharges