Electrostatic sheaths of dusty plasma in presence of magnetic field

Summary form only given. In this work, we have investigated the effects of dust particles on the electrostatic sheaths in the presence of magnetic field. For this, we have established a three-dimensional and stationary theoretical model where the positive ions and dust particles are considered as cold fluids. The electrons and negative ions are considered in thermodynamic equilibrium; therefore they obey to Boltzmann´s statistic. The generalized Bohm criterion was used¹. The main forces acting on the dust particles (gravity, electric, ion drag force and neutral drag force) are also considered. The computation of dust particles density show the existence of density peaks, between which there are regions of low density of grain dust (voids). The computation of the net force acting on the dust particles and the corresponding formal potential in the sheath show the trapping positions which correspond to density peaks positions.