Abstract:

On the basis of summarizing the development of various nonlinear chemical kinetics, this paper focuses on the main contents of the latest research results on concentration field theory. Based on the law of mass action and the principle of general relativity, the theory has built the nonlinear complex reaction kinetics equation (i.e., the concentration field equation) and given the mechanism index of 9 basic kinetics types, such as diffusion, crystallization, adsorption, heat transfer, phase transformation, and so on. The new theory solves the problems of thermal analysis kinetics, such as non-convergence and faultiness of theoretical basis. The so-called “memory effect” and “reaction order of fractional level” of fracton kinetics were explained rationally. By means of mathematical equations and graphs, it can not only quantitatively express and explain various nonlinear chemical phenomena, such as chemical oscillations, chemical bifurcations, and multiple stationary states, but also give the important conclusions that the fundamental reason for producing various nonlinear chemical phenomena is the double-solution properties of three stage reaction. All these illustrate that the concentration field equation and the concentration field theory have important value in theoretical research and practical application.

Key words: nonlinear kinetics, thermal analysis kinetics, fracton kinetics, concentration field equation, concentration field theory

摘要：

在综述各种非线性化学动力学研究发展的基础上，重点介绍了最新研究成果浓度场理论的主要内容。该理论根据质量作用定律和广义相对性原理，构建了非线性复杂反应动力学方程即浓度场方程，并给出了扩散、结晶、吸附、传热及相变等9种基本动力学类型的机理指数，解决了热分析动力学积分不收敛、理论基础不完善等问题，合理解释了分形子动力学所谓“记忆效应”和“分数级反应级数”问题，并在通过数学方程和图线全面、直观、定量表达并解释化学振荡、化学分岔、多重定态等各种非线性化学现象的同时，给出了“三级反应的双解性质，是产生各种非线性化学现象的根本原因”的重要结论。浓度场方程及浓度场理论具有很强的理论研究和实际应用价值。

关键词: 非线性动力学, 热分析动力学, 分形子动力学, 浓度场方程, 浓度场理论