Statistical description of spatially inhomogeneous coagulating systems

The process of precipitation initiated by the coagulation of aerosol particles (i.e., fusion of cloud water droplets and adhesion of ice crystals or chemical particles) is considered. Equations describing all the statistical characteristics of spatially inhomogeneous coagulating systems are formulated in double discrete (in time and in space) representation, taking into account local microfluctuations and the finiteness of the mixing time. It is shown that microfluctuations contribute significantly to the supply of large particles and thus accelerate the rate of precipitation due to coagulation.