非线性化学动力学发展的新阶段——浓度场方程及浓度场理论

doi:10.16085/j.issn.1000-6613.2018-1109

化工进展 ›› 2019, Vol. 38 ›› Issue (01): 1-13.DOI: 10.16085/j.issn.1000-6613.2018-1109

非线性化学动力学发展的新阶段——浓度场方程及浓度场理论

张少军¹(),李松杰²,杜江¹,王成铎³

1. 郑州大学河南资源与材料技术协同创新中心，河南郑州 450001
2. 郑州大学化工与能源学院，河南郑州 450001
3. 郑州大学材料科学与工程学院，河南郑州 450001

收稿日期:2018-05-29 修回日期:2018-09-14 出版日期:2019-01-05 发布日期:2019-01-05
作者简介:张少军（1962—），男，博士，教授，博士生导师，研究方向为物理化学和有色金属冶金。E-mail：<email>zhangshaojun@zzu.edu.cn</email>。
基金资助:
国家重点研发计划(2016YFB0301101);国家重点研发计划（2016YFB0301101）。

A new stage in development of nonlinear chemical kinetics―Equation and theory of concentration field

Shaojun ZHANG¹(),Songjie LI²,Jiang DU¹,Chengduo WANG³

1. Collaborative Innovation Center of Henan Resource and Materials Industry，Zhengzhou University，Zhengzhou 450001，Henan，China
2. School of Chemical Engineering and Energy，Zhengzhou University，Zhengzhou 450001，Henan，China
3. School of Materials Science and Engineering，Zhengzhou University，Zhengzhou 450001，Henan，China

Received:2018-05-29 Revised:2018-09-14 Online:2019-01-05 Published:2019-01-05

摘要/Abstract

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

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

中图分类号:

O643
N93

张少军, 李松杰, 杜江, 王成铎. 非线性化学动力学发展的新阶段——浓度场方程及浓度场理论[J]. 化工进展, 2019, 38(01): 1-13.

Shaojun ZHANG, Songjie LI, Jiang DU, Chengduo WANG. A new stage in development of nonlinear chemical kinetics―Equation and theory of concentration field[J]. Chemical Industry and Engineering Progress, 2019, 38(01): 1-13.

图/表 9

图1 分步成长絮凝体模型[1]

图2 荞麦壳热分解反应

图3 z=1、n=3时不同反应速率系数的α–τ变化曲线

图4 z=1、n=3时不同反应速率系数的 d α d τ –τ变化曲线

图5 z=1、n=3时不同反应速率系数的 d α d τ –α变化曲线

图6 z=1/2、n=2时不同反应速率系数 d α d τ –α变化曲线

图7 z=1/2、n=3时不同反应速率系数的α–τ变化曲线

图8 z=1/2、n=3时不同反应速率系数 d α d τ –τ变化曲线

图9 z=1/2、n=3时不同反应速率系数 d α d τ –α变化曲线

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非线性化学动力学发展的新阶段——浓度场方程及浓度场理论

A new stage in development of nonlinear chemical kinetics―Equation and theory of concentration field

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