Chemical Physics Letters
Volume 138, Issue 5 , 31 July 1987, Pages 476-480

Influence of fractal dimension on diffusion-controlled reactions

M. A. López-Quintela, J. C. Pérez-Moure and M. C. Buján-Núñez

J. Samios

Grupo de Biodinámica Fisica, Departamento de Quimica Física, Universidade de Santiago, 15700 Santiago de Compostela, Spain
Fakultät für Chemie, Universität Bielefeld, D-4800 Bielefeld 1, West Germany

Received 15 May 1987.  Available online 6 December 2001.


The concept of a diffusion coefficient dependent on a differential fractal dimension has been introduced into the theoretical treatment of diffusion-controlled reactions between particles lacking long-range interactions. By this means Smoluchowski's theory can be extended to the more realistic case in which the mean free path of the reacting particles is finite. The theoretical calculations, corroborated by computer simulation experiments, show that reduction of the fractal dimension implies an effective reduction of the rate constant.

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