Kulagina, T.P., Smirnov, L.P. and Andrianova, Z.S.T.P. (2018) Mathematical Simulation of Low-Frequency Mechanical Action on Bimolecular Reaction Kinetics in a Structured Liquid. Russian Journal of Physical Chemistry B, 12, 657-662.
https://doi.org/10.1134/S1990793118040139

has been cited by the following article:

• TITLE: Influence of Low-Frequency Sonolysis on the Stability of Reactions Involving Associates

  AUTHORS: Tatiana P. Kulagina, Lev P. Smirnov, Zoya S. Andrianova

  KEYWORDS: Chemical Reaction, Kinetics, Liquid Medium, Reagent Association, Low-Frequency Action, Bistability Regime, Oscillation, Resonant Change

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.12, December 3, 2019

  ABSTRACT: The influence of low-frequency sonolysis on the kinetics bimolecular liquid-phase reactions was studied with due regard for the association (dimers and trimers) of starting reagents. The mathematical modeling of chemical reactions that were described by nonlinear differential equations is performed. The steady states, the singular points characteristics, the nature of concentration oscillations in the reaction system are described. With increasing frequency and amplitude of low-frequency sonic waves (up to some critical value), we observed the cessation of the reaction. This observation offers an additional tool for controlling reaction rate by the external action of low-frequency vibrations. The conclusions of the work are obtained under certain assumptions. The exact determination of the critical conditions for changes in dynamics is beyond the scope of the problem.