Analytical approximation for reaction-diffusion processes in rough pores

Details Analytical approximation for reaction-diffusion processes in rough pores Analytical approximation for reaction-diffusion processes in rough pores

2000-12-14

arxiv.org/abs/cond-mat/0012258v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures

Scientific paper

The 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.

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