Expansion of dust grains in electron depleted two-temperature-ion plasma

The nonlinear space-time evolution of an expanding electron depleted dusty plasma into a vacuum region is numerically investigated without imposing the quasineutrality approximation. Based on hydrodynamic equations a Lagrangian algorithm is developed. A small group of dust particles is accelerated ahead of the dominant plasma expansion by a local electric field set up by massless ions rushing into the vacuum region. Dust wave breaking and associated dust bunching is found to take place limiting therefore the time scale of the simulation