Concentration statistics for dispersive media

Abstract

This report demonstrates the basis for and some applications of an integral method to describethe statistics of concentration fluctuations in dispersive media. The integral approach isderived by using and then extending Lagrange's method for solving the continuity equation.Illustrative applications of the theory deal with diffusion parallel and perpendicular to themean motion of the host fluid, with consequences of different stochastic loss processes, andwith predictions of concentration fluctuations caused by turbulent diffusion and sourcestrengthvariations.