Expression in Terms of Molecular Distribution Functions for the Entropy Density in an Infinite System
- 1 December 1958
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 29 (6), 1365-1370
- https://doi.org/10.1063/1.1744724
Abstract
An expression for the entropy in a finite subvolume of an infinite fluid, originally proposed by Strato‐novich on the basis of information theory, is rewritten in terms of functions related to the potentials of average force. The result exhibits a correction to the corresponding expression obtained by H. S. Green for a finite system, in the form of a series in powers of the concentration, of which the first terms have been investigated by Richardson. By neglect of correlations of three or more molecules and powers of the density higher than the third, the result is specialized to the case of a gas of low density, for which the configurational entropy per molecule is calculated with use of the radial distribution obtained by Kirkwood for hard‐sphere and hard‐core Lennard‐Jones potentials.Keywords
This publication has 5 references indexed in Scilit:
- Boltzmann Equation from the Statistical Mechanical Point of ViewThe Journal of Chemical Physics, 1956
- Variational Theory of the Radial Distribution FunctionThe Journal of Chemical Physics, 1955
- Radial Distribution Functions and the Equation of State of Fluids Composed of Molecules Interacting According to the Lennard-Jones PotentialThe Journal of Chemical Physics, 1952
- Critique of the Free Volume Theory of the Liquid StateThe Journal of Chemical Physics, 1950
- Molecular DistributionThe Journal of Chemical Physics, 1941