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Conferences > ICOL > 1984 > TuC > TuC3

Luminescent Fractal Reactions: Exciton Annihilation on Percolation Clusters

L.W. Anacker, R. Kopelman, and P.W. Klymko

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Abstract

We report here the first complete study of fractal reaction kinetics.1-3 This fractal reaction is a prototype of heterogeneous chemical kinetics and is of potential application to chemical catalysis and biological molecular energy transport. We note that for the binary reaction the classical (Euclidean space) kinetic equation is: However, on fractal spaces, the equation is where h=1-ds/2 and ds is the spectral dimension of the fractal space.

© 1984 Optical Society of America

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