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Self-Oscillations of Chemical Reactions in a Closed Isothermal System

  • Selected articles originally published in Russian in Rossiiskii Khimicheskii Zhurnal (Russian Chemistry Journal)
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Abstract

The study focuses on exploring new mechanisms and causes of self-oscillations of kinetic nature in chemical reactions occurring in a closed isothermal system. Self-oscillations are a special nonequilibrium regime of the reaction, in which the concentrations of reagents or the reaction rate strictly periodically change over time. The type of self-oscillations can be different (harmonic, relaxation, complex-periodic). Mathematical models of self-oscillations are multidimensional nonlinear dynamical systems of ordinary differential equations. The main cause of self-oscillation is the instability of such systems due to the lack of stable equilibria. Within the framework of the ideal kinetic law of acting masses, self-oscillations can occur in an open gradient-free system only in reactions involving bimolecular stages of reactant interaction. In a closed isothermal gradient-free system, within the framework of the law of acting masses, self-oscillations of chemical reactions are not possible. The experimental study of some reactions revealed a violation of the law of acting masses and critical phenomena associated with the existence of unstable states. This aroused interest in the study of such reactions using non-ideal kinetics. Currently, the effect of the imperfection of the kinetic law on the possibility of describing the self-oscillations of chemical reactions in a closed isothermal gradient-free system has not been studied. This paper investigates the mechanisms and causes of self-oscillations in chemical reactions occurring in accordance with non-ideal kinetic laws. Utilizing the non-ideal kinetic law proposed by Marcelin-de Donder, this study demonstrates that non-damping relaxation self-oscillations are possible for linear chemical reactions taking place in a closed isothermal gradient-free reactor away from equilibrium.

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ACKNOWLEDGMENTS

The author would like to thank V.Kh. Fedotov for discussing the research.

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct thisparticular research were obtained.

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  1. Department of Physical Chemistry and Macromolecular Compounds, I.N. Ulyanov Chuvash State University, 428015, Cheboksary, Russia

    N. I. Koltsov

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Koltsov, N.I. Self-Oscillations of Chemical Reactions in a Closed Isothermal System. Russ J Gen Chem 93, 3224–3229 (2023). https://doi.org/10.1134/S1070363223120228

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