Abstract
A problem of stationary distribution of particles in a disperse phase according to size, where the particles are subjected to coagulation and disintegration processes, is considered. Analytic expressions are obtained for the mean number of particles of arbitrary mass in a stationary distribution. A limiting passage to an infinite system is studied. One of the basic factors in the mechanics of aerosols, which determines the distribution of the particles according to their size is the process of coagulation of the particles in the disperse phase, caused by their collisions with each other. This is often accompanied by a competing process of division or disintegration of the particles caused by some concrete mechanism (e.g. disintegration of particles in the turbulent pulsations of air, or the instability of droplets under surface deformation /1,2/). The kinetic coagulation equation was first generalized to the case of the systems with decomposition in /3/. A model of formation of precipitation from a warm cloud with the drop disintegration process taken into account, was constructed in /4/, and in /5/ an attempt was made to explain the characteristic form of the stationary spectra of the particles in systems with coagulation and disintegration.
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