A generalized approach to the description of interaction boundaries in migrating systems
A generalized approach to the description of interaction boundaries in migrating systems
复制标题
描述迁移系统中交互边界的通用方法
DOI：
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发表时间：
1965
期刊：
影响因子：
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通讯作者：
A. Ogston
中科院分区：
文献类型：
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作者：
L. W. Nichol;A. Ogston
在n种溶质（n ≥ 1）系统的迁移中观察到的模式，受物理或化学相互作用或两者的影响。这两种类型的相互作用的影响以前被认为是分开的广泛不同的方法，导致在某些情况下，完整的描述迁移模式。在目前的工作中，提出了一个统一的和简化的方法，它允许一个完整的数学描述的迁移模式的所有功能，提供的依赖成分的总组成的速度被定义为每个组成物种。重点是涉及一个或两个迁移溶质的系统。特别是，标准已经建立了尖锐，蔓延和超尖锐的边界形式。的治疗，在共同与以前的一些方法，忽略了扩散扩散的影响，只考虑与时间无关的相互作用。一般的理论首先说明与化学缔合系统，并举例说明的情况下，涉及两个溶质，这已经解释了以前的物理参数。物理相互作用的操作也由理论处理，通过选择适当的模型和通过引入一般函数。最后，移动边界方程适用于选定的迁移模式，修改的物理和化学相互作用。
Patterns observed in the migration of a system of n solutes, where n ⋟ 1, are affected by the operation of either physical or chemical interactions or both. The effects of the two types of interactions have previously been considered separately by widely different approaches, leading in certain instances to the complete description of migration patterns. In the present work a unified and simplified approach is presented, which permits a complete mathematical description of all features of the migration pattern, provided the dependence of constituent velocities on total composition is defined for each constituent species. Emphasis is given to systems involving one or two migrating solutes. In particular, criteria have been established for sharp, spread and hypersharp boundary forms. The treatment, in common with some previous approaches, neglects the effects of diffusional spreading, and considers only time-independent interactions. The general theory is first illustrated with chemically associating systems, and the examples include descriptions of cases involving two solutes, which have been previously explained by physical argument alone. The operation of physical interactions is also treated by the theory, both by selecting appropriate models and by introducing general functions. Finally, the moving boundary equation is applied to selected migration patterns, modified by both physical and chemical interactions.