Concentration statistics for dispersive media

This report demonstrates the basis for and some applications of an integral method to describe the statistics of concentration fluctuations in dispersive media. The integral approach is derived 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 the mean motion of the host fluid, with consequences of different stochastic loss processes, and with predictions of concentration fluctuations caused by turbulent diffusion and source-strength variations. 1