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Initial Distribution Effects on Diffusion-Limited Reactions in Constrained Geometries

Published online by Cambridge University Press:  10 February 2011

Katja Lindenberg
Affiliation:
Department of Chemistry and Biochemistry and Institute for Nonlinear Science, University of California at San Diego. La Jolla, CA 92093–0340
A. H. Romero
Affiliation:
Department of Chemistry and Biochemistry and Department of Physics, University of California at San Diego, La Jolla, CA 92093–0340
J. M. Sancho
Affiliation:
Departament d'Estructura i Constitutents de la Matèria, Universitat de Barcelona, Av. Diagonal 647, E-08028 Barcelona, Spain
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Abstract

We present a study of the effects of the initial distribution on the kinetic evolution of irreversible binary reactions in low dimensions. We focus on the role of initial density fluctuations and, in particular, on the role of the long wavelength components of the initial fluctuations, in the creation of the macroscopic patterns that lead to the well-known kinetic anomalies in this system. The frequently studied random initial distribution is but one of a variety of possible distributions leading to interesting anomalous behavior. Our discussion includes initial distributions that suppress and ones that enhance the initial long wavelength components.

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

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References

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