Fluid equations for a dusty plasma with dust charge and mass distribution interacting with neutral dust through dust grain charging and secondary emission

A set of fluid equations is obtained for a dusty plasma, with dust charge a nd mass distributions, interacting with ambient neutral dust through inelas tic collision processes involving dust grain charging and discharging and s econdary electron emission from the dust grains. These are obtained as appr opriate moments of the Boltzmann-Vlasov equations for the positively and ne gatively charged dust components, neutral dust component, electrons, and io ns. Also obtained are the charge and mass moments of these equations, which bring out a new term involving the charge dispersion in the equation for t he phase space charge density. The inelastic collision process involving du st grain charging and discharging and secondary electron emission provides a coupling between the positive and negatively charged dust components and the neutral dust component. The source/sink terms in the equations of conti nuity, momentum balance, and heat equations then are the proper terms obtai ned systematically from the Boltzmann-Vlasov equations, as against some ad hoc formulations that have been used earlier. The set of equations so obtai ned should prove useful in analyzing the various dusty plasma phenomena: wa ves, instabilities, and nonlinear processes in space and astrophysical scen arios. (C) 2000 American Institute of Physics. [S1070-664X(00)01510-X].