Formation of shocks related to dust particle charging in complex plasmas

The non-stationary problem of the evolution of perturbation and its transformation into nonlinear wave structure in complex plasmas (multicomponent plasmas containing ions, electrons, charged microspheres or dust grains, and neutral gas) is considered. For this purpose the model, which takes into account the variation of the ion density and the ion momentum dissipation due to dust particle charging as well as the source of plasma particles due to ionization process, is developed. The model is appropriate for the description of laboratory experiments in complex plasmas and contains all basic mechanisms responsible for the formation of a new kind of shock waves which are related to the anomalous dissipation due to dust particle charging process. The consideration on the basis of this model allows us to obtain shock structures as a result of evolution of an initial perturbation and to explain the experimental value of the width of the ion acoustic shock wave front as well as the shock wave speed. The solution of the problem of the evolution of perturbation and its transformation into shock wave in complex plasmas opens up possibilities for description of the real phenomena like supernova explosions as well as of the laboratory and active space and geophysical experiments.