Semianalytical Spatial Ranges and Persistences of Non-Polar Chemical for Reaction-Diffusion Type Dynamics

Abstract

A circular and a spherical reaction-diffusion multi-media mass balance model are analytically approached. These models serve as a paradigm in investigations of persistence and spatial range of non-polar chemicals. For a huge class of chemicals, a closed-form approximation is derived. An exact expression for the persistence is presented. Although degradation and diffusion processes are linked in a multi-compartment system, the persistence can be reduced to the prediction of a diffusion-free box-model. Furthermore, the time-dependence of the release function is shown to be irrelevant for persistence and spatial range.