Thermodynamical Fundamental Equation for Spherical Interface
Thermodynamical Fundamental Equation for Spherical Interface
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DOI：
10.1063/1.1743024
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发表时间：
1956-10
影响因子：
4.4
通讯作者：
Sohei Kondo
中科院分区：
文献类型：
--
作者：
Sohei Kondo
详细研究了吉布斯分割面半径与表观密度之间的关系，得到了广义开尔文关系。因此，球面界面的基本方程为 dE=TdS+μdN−pαdVα−pβdVβ+γdA+(∂γ/∂a)Ada。广义开尔文关系是确定张力面位置的显式微分方程，与常规方程并不矛盾。这样就完成了以严格且自洽的方式处理球面界面的热力学数学形式主义，消除了传统吉布斯处理中最后一个模糊点。
The relation between the radius of the Gibbs dividing surface and the superficial density is investigated in detail and the generalized Kelvin relation is obtained. Consequently the fundamental equation for spherical interface is expressed by dE=TdS+μdN−pαdVα−pβdVβ+γdA+(∂γ/∂a)Ada. The generalized Kelvin relation is the explicit differential equation for determining the location of the surface of tension which does not contradict with the conventional one. Thus the mathematical formalism of thermodynamics will be completed for treating spherical interface in a rigorous and self‐consistent manner, the last ambiguous point being eliminated from the conventional Gibbs treatments.