A model of gravity-induced distribution of material in plasma polymerized aerosols and films

A mathematical model of the volumetric part of plasma polymerization influenced by gravity is presented. Plasma-activated adhesion of monomer molecules to a surface of a germinal particle is assumed as a basic mechanism of particulate growth. The continuity equation for the flow of matter through the discharge has been formulated and solved in two extreme asymptotic approximations --for small and major duration of the process. Several non-equilibrium distribution functions of the polymer were obtained, for instance, an amount of the particles as a function of their size or time of fall. Within the adopted model this function demonstrates a sharp downward increase inside a discharge. In addition it contains such parameters as the free fall acceleration or reaction rate coefficients, variations of which enable control of the discharge and properties of the disperse medium.