Spherical spatial ranges of non-polar chemicals for reaction–diffusion type dynamics

摘要

A spherical reaction–diffusion unit-world model is analytically approached. This model serves as a paradigm in investigations of persistence and spatial range of non-polar chemicals. The presented framework allows to handle any combination of rate constants. 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 is proven to be independent of any diffusion rate, geometry, and dimension. A close relation of time-domain δ-like releases and steady-state situations is established.