First Passage Times and Breakthrough Curves Associated with Interfacial Phenomena

Edward C. Waymire, Thilanka A. Appuhamillage, Vrushali A. Bokil, Enrique A. Thomann, Brian D. Wood

Published 2011-06-21Version 1

Advection and dispersion in highly heterogeneous environments involving interfacial discontinuities in the corresponding drift and dispersion rates are described through disparate examples from the physical and biological sciences. A mathematical framework is formulated to address specific empirical phenomena involving first passage time and occupation time functionals observed in relation to the interfacial parameters.