{ "id": "1106.4350", "version": "v1", "published": "2011-06-21T23:08:14.000Z", "updated": "2011-06-21T23:08:14.000Z", "title": "First Passage Times and Breakthrough Curves Associated with Interfacial Phenomena", "authors": [ "Edward C. Waymire", "Thilanka A. Appuhamillage", "Vrushali A. Bokil", "Enrique A. Thomann", "Brian D. Wood" ], "categories": [ "math.PR", "cond-mat.stat-mech" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2011-06-21T23:08:14.000Z" } ], "analyses": { "keywords": [ "first passage time", "breakthrough curves", "interfacial phenomena", "occupation time functionals", "address specific empirical phenomena" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1106.4350W" } } }