The effect of Brownian motion on collisions between aerosol particles in turbulent flow

A statistical model is given for determining the kernel of collisions of small aerosol particles in homogeneous isotropic turbulence in view of Brownian motion. The suggested model is based on the kinetic equation for the probability density function of distribution of relative velocity of two particles. Analysis is performed of the effect of Brownian motion on the relative velocity of two particles (transport effect) and on the radial distribution function (accumulation effect).