Analytical approximation for reaction-diffusion processes in rough pores

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dc.creatorAndrade Jr., J. S.
dc.creatorFiloche, M.
dc.creatorSapoval, B.
dc.date2000-12-14
dc.date.accessioned2026-07-07T02:39:46Z
dc.date.available2026-07-07T02:39:46Z
dc.descriptionThe concept of an active zone in Laplacian transport is used to obtain an analytical approximation for the reactive effectiveness of a pore with an arbitrary rough geometry. We show that this approximation is in very good agreement with direct numerical simulations performed over a wide range of diffusion-reaction conditions (i.e., with or without screening effects). In particular, we find that in most practical situations, the effect of roughness is to increase the intrinsic reaction rate by a geometrical factor, namely, the ratio between the real and the apparent surface area. We show that this simple geometrical information is sufficient to characterize the reactive effectiveness of a pore, in spite of the complex morphological features it might possess.
dc.description7 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0012258
dc.identifierhttp://arxiv.org/abs/cond-mat/0012258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17144
dc.subjectStatistical Mechanics
dc.titleAnalytical approximation for reaction-diffusion processes in rough pores
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