A GENERAL KINETIC THEORY OF LIQUIDS .1. THE MOLECULAR DISTRIBUTION FUNCTIONS
A GENERAL KINETIC THEORY OF LIQUIDS .1. THE MOLECULAR DISTRIBUTION FUNCTIONS
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DOI：
10.1098/rspa.1946.0093
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发表时间：
1946-01-01
影响因子：
--
通讯作者：
GREEN, HS
中科院分区：
文献类型：
--
作者：
BORN, M;GREEN, HS
本文概述了一个一般理论，其目的是为研究液体的所有平衡和动力学性质提供一个基础。定义了一组多形式分布函数，并导出了这些函数所满足的广义连续性方程。通过引入运动方程，得到了一组可以确定分布函数的关系式。结果表明，气体运动理论中的玻尔兹曼方程是一个特例，在平衡条件下，该理论给出的结果与统计力学相一致。得到了径向分布函数的积分方程式，它是Kirkwood关于“刚性球形分子”的积分方程式的自然推广。最后指出该理论如何应用于解决液态的平衡问题和动力学问题。
This paper outlines a general theory whose object is to provide a basis from which all the equilibrium and dynamical properties of liquids can be investigated. A set of multiform distribution functions is defined, and the generalized continuity equations satisfied by these functions are derived. By introducing the equations of motion, a set of relations is obtained from which the distribution functions may be determined. It is shown that Boltzmann’s equation in the kinetic theory of gases follows as a particular case, and that, in equilibrium conditions, the theory gives results consistent with statistical mechanics. An integral equation for the radial distribution function is obtained which is the natural generalization of one obtained by Kirkwood for ‘rigid spherical molecules’. Finally, it is indicated how the theory may be applied to solve both equilibrium and dynamical problems of the liquid state.