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Geometrical probabilities in heterogeneous kinetics: 60 years of side by side development

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Abstract

In developing the theory of heterogeneous chemical kinetics, the use of ideas and methods of geometrical probabilities provided the explanation of the universal kinetic regularities inherent in solid state reactions conjugated with first-order phase transitions. But in the course of time it is becoming clearer and clearer that the other side of the universality of the conventional geometric-probabilistic approach in terms of coverings is the set of discrimination issues which find no adequate resolution within this phenomenology. Meanwhile another mathematical language, the language of tessellations, had been worked out in the framework of the theory of geometrical probabilities and, later, stochastic geometry. It is more promising with respect to deeper interpretation and chemical differentiation of models. The interplay between these two languages is discussed from the angle of essential issues concerning the mathematical description of solid state reaction kinetics.

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  1. Kharkov University, P.O. Box 10313, Kharkov, 310023, Ukraine

    A. Korobov

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Korobov, A. Geometrical probabilities in heterogeneous kinetics: 60 years of side by side development. Journal of Mathematical Chemistry 24, 261–290 (1998). https://doi.org/10.1023/A:1019135006122

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