Abstract

The work is devoted to the problem of analyzing the mechanisms of nonlinear multicomponent diffusion in complex systems. A new method is proposed for determining the stoichiometric coefficients of an elementary act of a complex diffusion process in the framework of a two-cell model of the formal-kinetic description of the cooperative nature of the diffusion jump. To highlight the basic (dominant) mechanism of a complex diffusion process, a value approach is used from the functional analysis methods. The problem of the value assessment of the kinetic significance of the individual stages and components and the determination of the value contribution of each stage and component to the general process of diffusion transfer are considered.

中文翻译：

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确定非线性多组分扩散支配机理的值方法

摘要

这项工作致力于分析复杂系统中非线性多组分扩散的机理。提出了一种新方法，用于在扩散跳跃的协作性质的形式动力学描述的两单元模型的框架内确定复杂扩散过程的基本行为的化学计量系数。为了突出复杂扩散过程的基本（主导）机制，从功能分析方法中使用了价值方法。考虑了对各个阶段和组分的动力学重要性进行价值评估以及确定每个阶段和组分对扩散转移的一般过程的价值贡献的问题。