Statistical diffusion theory applied to relative diffusion

The laws governing the instantaneous, relative spread of particles are derived using a theoretical approach based on inertial range scaling and statistical diffusion theory. The equations of relative diffusion in homogeneous turbulence are obtained, including analytical derivations of the Richardson-Obukhov constant of relative dispersion and relationships between Lagrangian and Eulerian structure functions. Comparisons with direct numerical simulations, Lagrangian stochastic simulations, and laboratory experiments are presented.