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Molecular diffusion between walls with adsorption and desorption | | Maximilien Levesque
; Olivier Bénichou
; Benjamin Rotenberg
; | | Date: |
28 Dec 2012 | | Abstract: | The time dependency of the diffusion coefficient of particles in porous media
is an efficient probe of their geometry. The analysis of this quantity,
measured e.g. by nuclear magnetic resonance (PGSE-NMR), can provide rich
information pertaining to porosity, pore size distribution, permeability and
surface-to-volume ratio of porous materials. Nevertheless, in numerous if not
all practical situations, transport is confined by walls where adsorption and
desorption processes may occur. In this article, we derive explicitly the
expression of the time-dependent diffusion coefficient between two confining
walls in the presence of adsorption and desorption. We show that they strongly
modify the time-dependency of the diffusion coefficient, even in this simple
geometry. We finally propose several applications, from sorption rates
measurements to the use as a reference for numerical implementations for more
complex geometries. | | Source: | arXiv, 1212.6547 | | Services: | Forum | Review | PDF | Favorites | |
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