AND

We elucidate the effect of noise on the dynamics ofN point charges in a Vlasov-Poisson model with a singular bounded interaction force. A too simple noise does not affect the structure inherited from the deterministic system and, in par-ticular, cannot prevent coalescence of point charges. Inspired by the theory of random transport of passive scalars, we identify a class of random fields gener-ating random pulses that are chaotic enough to disorganize the structure of the deterministic system and prevent any collapse of particles. We obtain the strong unique solvability of the stochastic model for any initial configuration of distinct point charges. In the case where there are exactly two particles, we implement the “vanishing noise method ” for determining the continuation of the determin-istic model after collapse. © 2014 Wiley Periodicals, Inc.