The Diffusion Eigenstates in a Periodic Porous Medium with a Strong Surface Absorption
Abstract
The Bloch diffusion eigenstates of a periodic porous medium, but with an otherwise arbitrary microstructure, and with strong absorption at the pore/matrix interface, have been calculated by expanding them in a series of eigenfunctions of an unphysical porous medium which has the same microstructure but no interface absorption, and where the diffusion also takes place inside the matrix with a diffusion coefficient that approaches infinity. The results are especially simple in the case where the interface absorption coefficient is infinite and for the q=0 eigenstates, but are very accurate also for large but finite rho and arbitrary q-vectors. The results of such calculations are compared with previous calculations that were limited to the regime of low interface absorption.
- Publication:
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APS March Meeting Abstracts
- Pub Date:
- March 1997
- Bibcode:
- 1997APS..MAR.B1502B