Abstract
A mathematical model of the physicochemical processes that occur under low-frequency mechanical action on bimolecular reaction kinetics with consideration for the association of reagents is presented. As a result of the mathematical simulation, special features of the kinetics and stability of the reaction modes were established. It was shown that, in a structured liquid, a formally simple reaction occurs as a complex process with the appearance of bistability regimes, the formation of a temporal dissipative structure, and the complex structure of intermediate concentration oscillations. The possibility of controlling transitions from stable to unstable reaction conditions and vice versa under changes in the external action amplitude was demonstrated.
Similar content being viewed by others
References
N. N. Semenov, Khim. Tekhnol. Polim., Nos. 7–8, 136 (1957).
Molecular Interactions, Ed. by H. Ratajczak and W. J. Orville-Thomas (Wiley, New York, 1989; Mir, Moscow, 1984).
Intermolecular Forces, Ed. by B. Pullman (Reidel, Dordrecht, 1981).
L. P. Smirnov and T. P. Kulagina, Russ. J. Phys. Chem. B 11, 786 (2017).
W. Ebeling, Structure Formation Inreversible Processes (BSB Teubner, Leipzig, 1976; Mir, Moscow, 1979) [in German].
A. W. Castleman and S. Wei, Ann. Rev. Phys. Chem. 45, 685 (1994).
G. J. Price, in Sonochemistry and Sonoluminescence, Ed. by L. A. Crum (Kluwer Academic, Boston, 1999), p. 321.
V. G. Khozin, Reinforcement of Epoxy Polymers (Dom Pechati, Kazan, 2004) [in Russian].
R. F. Ganiev, V. N. Fomin, E. B. Malyukova, A. T. Ponomarenko, A. I. Sergeev, V. V. Matveev, and A. E. Chalykh, Dokl. Chem. 403, 164 (2005).
N. Z. Mingaleev, Z. G. Zinnurov, L. E. Kostina, et al., Kauch. Rezina, No. 5, 16 (2006).
A. A. Belyaev, Z. I. Kaganova, and B. V. Novozhilov, Khim. Fiz. 24, 71 (2005).
L. O. Kononov, RSC Adv. 5, 46718 (2015).
M. Sedlák, J. Phys. Chem. B 110, 4329 (2006).
L. P. Smirnov, T. P. Kulagina, and Z. S. Andrianova, Russ. Chem. Bull. 66, 30 (2017).
T. P. Kulagina, L. P. Smirnov, and Z. S. Andrianova, Dokl. Phys. Chem. 475, 126 (2017).
M. A. Margulis, Sonochemical Reactions and Sonoluminescence (Khimiya, Moscow, 1986) [in Russian].
R. P. Tiger, D. P. Tarasov, and S. G. Entelis, Khim. Fiz. 15 (11), 11 (1996).
H. H. Kaush, Polymer Fracture (Springer, Berlin, Heidelberg, 1978).
A. Tobolsky and H. Eyring, J. Chem. Phys. 11, 125 (1943).
J. Gormelli, W. Gettins, and E. Win-Jones, in Molecular Interactions, Ed. by H. Ratajczak and W. J. Orville-Thomas (Wiley, New York, 1989; Mir, Moscow, 1984).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © T.P. Kulagina, L.P. Smirnov, Z.S. Andrianova, 2018, published in Khimicheskaya Fizika, 2018, Vol. 37, No. 7, pp. 19–25.
Rights and permissions
About this article
Cite this article
Kulagina, T.P., Smirnov, L.P. & Andrianova, Z.S. Mathematical Simulation of Low-Frequency Mechanical Action on Bimolecular Reaction Kinetics in a Structured Liquid. Russ. J. Phys. Chem. B 12, 657–662 (2018). https://doi.org/10.1134/S1990793118040139
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1990793118040139