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

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.

非线性化学反应在低维介质中的动力学行为

通过数值模拟对３分子自催化反应Ａ＋２Ｘ３Ｘ在一维和二维介质中的动力学行为进行了研究。发现在一维和二维情形下，如果施以不同的微观反应规则，该反应的渐近行为既可能偏离经典化学反应动力学（平均场理论）所预言的平衡极限行为，也可能与之一致。

三分子反应在—维介质上的动力学行为

提出了一种简明的理论分析方法，求出了三分子反应Ａ＋２Ｘ ３Ｘ在一维介质上的动力学行为的解析解，并成功地解决了该反应动力学行为对初始条件的依赖性问题。还通过数值模拟证实了提出的理论方法的正确性。