DOI: 10.1063/1.1744724. Expression in Terms of Molecular Distribution Functions for the Entropy Density in an Infinite System

Expression in Terms of Molecular Distribution Functions for the Entropy Density in an Infinite System

10.1063/1.1744724

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

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.

Bibliography

Nettleton, R. E., & Green, M. S. (1958). Expression in Terms of Molecular Distribution Functions for the Entropy Density in an Infinite System. The Journal of Chemical Physics, 29(6), 1365â1370.

Authors 2

R. E. Nettleton (first)
M. S. Green (additional)

References 17 Referenced 262

{'key': '2024020818171326100_r1'}
10.1063/1.1747635 / J. Chem. Phys. (1950)
10.1063/1.1743132 / J. Chem. Phys. (1956)
{'key': '2024020818171326100_r4'}
10.1063/1.1740743 / J. Chem. Phys. (1955)
{'key': '2024020818171326100_r6', 'first-page': '409', 'volume': '28', 'year': '1955', 'journal-title': 'J. Exptl. Theoret. Phys. U.S.S.R.'} / J. Exptl. Theoret. Phys. U.S.S.R. (1955)
{'key': '2024020818171326100_r6a', 'first-page': '254', 'volume': '1', 'year': '1955', 'journal-title': 'Soviet Phys. JETP'} / Soviet Phys. JETP (1955)
{'key': '2024020818171326100_r7'}
{'key': '2024020818171326100_r8'}
10.1063/1.1750822 / J. Chem. Phys. (1941)
{'key': '2024020818171326100_r10'}
{'key': '2024020818171326100_r11'}
{'key': '2024020818171326100_r12'}
{'key': '2024020818171326100_r13'}
{'key': '2024020818171326100_r14'}
{'key': '2024020818171326100_r15', 'first-page': '1043', 'volume': '18', 'year': '1950', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1950)
10.1063/1.1700653 / J. Chem. Phys. (1952)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 9:16 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 1:54 p.m.)
Indexed	1 month ago (July 19, 2025, 11:22 p.m.)
Issued	66 years, 8 months ago (Dec. 1, 1958)
Published	66 years, 8 months ago (Dec. 1, 1958)
Published Print	66 years, 8 months ago (Dec. 1, 1958)

Funders 0

None

BibTeX

@article{Nettleton_1958, title={Expression in Terms of Molecular Distribution Functions for the Entropy Density in an Infinite System}, volume={29}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1744724}, DOI={10.1063/1.1744724}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Nettleton, R. E. and Green, M. S.}, year={1958}, month=dec, pages={1365–1370} }

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