RECIPROCITY OF LAG TIME FOR REACTIVE DIFFUSION THROUGH HETEROGENEOUS MEMBRANES: A GREEN'S FUNCTION APPROACH |
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| Authors: | Jenn-Shing Chen Franz Rosenberger |
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| Affiliation: |
a Department of Applied Chemistry,, National Chiao Tung University, Hsin Chu, Taiwan, R.O.C.
b Center for Microgravity and Materials Research University of Alabama in Huntsville, Huntsville, AL, U.S.A. |
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| Abstract: | Forward and reverse diffusion through heterogeneous membranes with position-dependent diffusivity, partition coefficient and reaction rate constant are considered. The reciprocity of the lag time is proved, utilizing the symmetry of the corresponding Green' function with respect to the exchange of the coordinate arguments. Simple relations between the permeabilities, reactive diffusion fluxes and total released amounts for forward and reverse diffusion direction are derived. |
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| Keywords: | Reciprocity of diffusion lag time Reactive diffusion Heterogeneous membrane Green's function approach |
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