On the coagulation equation for a passive admixture in a stochastic medium

Within the generating functional approach an equation is derived for the coagulation of the ensemble average of the distribution function for finely dispersed particles in an incompressible Gaussian stochastic velocity field of low intensity. We assume that particles may be treated as a passive admixture in a fluctuating carrying medium. As against to our previous work the relevant pair correlation function is assumed to be of general form. Furthermore, the presence of particles depletion due to a volume sink has been taken into account.