%0 Journal Article %T First Passage Times and Breakthrough Curves Associated with Interfacial Phenomena %A Edward C. Waymire %A Thilanka A. Appuhamillage %A Vrushali A. Bokil %A Enrique A. Thomann %A Brian D. Wood %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1106.4350v1