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arXiv 0704.3738cond-mat.soft
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两相混合物的平方梯度模型I。平衡性质

The square gradient model in a two-phase mixture I. \\Equilibrium properties

K. S. Glavatskiy, D. Bedeaux

摘要:

为了描述一个不均匀的平衡混合物与两个共存相之间的界面,它是必要的考虑的贡献,亥姆霍兹能量取决于梯度,例如密度。范德华\cite{vdW/sg, vdW/translation}是第一个引入这样一个术语的人,它在单组分体系的界面区域非常重要。Cahn和Hilliard \cite{cahnhilliard/fens/I}通过引入摩尔分数的梯度项将该分析扩展到二元混合物。我们给出了一个系统的扩展的梯度理论的三维多组分系统。

英文摘要:

In order to describe a nonuniform equilibrium mixture with an interface between two coexisting phases it is necessary to consider contributions to the Helmholtz energy which depend on the gradients of for instance the density. Van der Waals \cite{vdW/sg, vdW/translation} was the first to introduce such a term, which is very important in the interfacial region for a one-component system. Cahn & Hilliard \cite{cahnhilliard/fens/I} extended this analysis to a binary mixture by introducing gradient terms of the mol fraction. We give an systematic extension of the gradient theory to three-dimensional multi-component systems.

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