The thermodynamical stability of the heterogeneous system with a spherical interface

The thermodynamical stability of the heterogeneous system with a spherical interface
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球形界面异质体系的热力学稳定性

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发表时间:
1985
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通讯作者:
A. Yang
A. Yang
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文献类型:
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作者:
A. Yang

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在讨论具有球形界面的异质系统的稳定性时,研究了单组分系统(即与其蒸气平衡的液滴)。由于热力学势函数的二阶函数微分的复杂性,提供了使用表面热力学的更简单的处理。如果各自的自然热力学变量保持恒定,则发现吉布斯自由能和大势处于鞍点。该系统在 T、V 和 N 恒定时的亥姆霍兹自由能要么处于鞍点,要么处于最小值,具体取决于两相的相对比率。这与之前的结果一致。这里开发的方法可用于均匀成核,以研究导致临界核形成的初始涨落。它还可以推广到研究多组分系统(例如乳液)的稳定性。使用表面热力学研究运动...
A one component system, a liquid drop in equilibrium with its vapor, is studied in the discussion of the stability of a heterogeneous system with a spherical interface. Due to the complexity of the second order functional differentiation of the thermodynamical potential function, a simpler treatment with the use of surface thermodynamics is provided instead. The Gibbs free energy and the Grand potential are found to be at a saddle point if respective natural thermodynamical variables are held constant. The Helmholtz free energy for this system at constant T, V, and N is either at a saddle point or a minimum depending on the relative ratio of the two phases. This is in agreement with a previous result. The method developed here can be used in a homogeneous nucleation to study the initial fluctuation which results in the formation of the critical nucleus. It can also be generalized to study the stability of the multicomponent system such as an emulsion. The use of the surface thermodynamics to study a kinet...
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发表时间: 1962
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作者:
F. B. Hildebrand
通讯作者: F. B. Hildebrand