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First Passage Times and Breakthrough Curves Associated with Interfacial Phenomena

2011/06/21 by Edward C. Waymire, Thilanka Appuhamillage, Thilanka A. Appuhamillage +9
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Electrostatics and Colloid Interactions #FOS: Mathematics #FOS: Physical sciences #Innovative Microfluidic and Catalytic Techniques Innovation #Micro and Nano Robotics #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math.PR

paper · pdf · doi:10.48550/arxiv.1106.4350

arxiv created 2011/06/21 · openalex publication_date 2011/06/21 · arxiv updated 2011/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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.

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