ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Klinshov V. К., Virchenko A. Y., Vanag K. V. Modelling mixing phenomenon in autocatalytic reaction by probability cellular automat. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 3, pp. 97-106. DOI: 10.18500/0869-6632-1996-4-3-97-106

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Russian
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Article
UDC: 
541
DOI: 
10.18500/0869-6632-1996-4-3-97-106

Modelling mixing phenomenon in autocatalytic reaction by probability cellular automat

Autors: 
Klinshov Vladimir Карлович, Immanuel Kant Baltic Federal University
Virchenko Anton Yurevich, Lomonosov Moscow State University
Vanag Konstantin Vladimirovich, Lomonosov Moscow State University
Abstract: 

A probability cellular automaton is suggested for modeling the stirring effect in an autocatalytic multiplication of activator аt the presence of inhibitor. The probability cellular automaton model simulates turbulent stirring, molecular diffusion, and chemical reactions. The probability cellular automaton model allows us to describe the experimental dependence of the induction period of autocatalytic reaction on stirring intensity (stirring effect). The hypothesis about the increasing the magnitude of the stirring effect with the slowing down the rate of the system approach to the critical point is confirmed. It is shown that the stirring effect is connected with the emergence of the microheterogeneities (nuclei), with the nonlinearity of chemical reactions, and with the effect of turbulent stirring rate on the magnitude of fluctuations in reagent concentrations.

Key words: 
-
Acknowledgments: 
The research described in this publication was made possible in part by a grant from the International Science Foundation MQSZOO and in part by epanriny 93-03-4090 from the Russian Foundation for Basic Research.
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Received: 
14.12.1995
Accepted: 
15.08.1996
Published: 
15.12.1996
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