DOI: 10.1063/1.1725907. Direct Correlation Functions and Their Derivatives with Respect to Particle Density

Direct Correlation Functions and Their Derivatives with Respect to Particle Density

10.1063/1.1725907

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

An equation relating the many-body distribution functions of a classical statistical mechanical system and their derivatives with respect to the particle density is stated and proved. It is found possible to define a heirarchy of symmetric functions of 2, 3, 4, etc. variables, of which the two-variable function is the Ornstein— Zernike correlation function. These functions, termed the direct correlation functions, and their derivatives with respect to density satisfy a strikingly simple relation. The possibility of a closure of the equations is discussed and a superposition approximation suggested. The resulting equation for the two-particle direct correlation function has the advantage that a knowledge of the function at one density predicts its values at another, thereby differing from most approximations, which require the solution of an integral equation in each case.

Bibliography

Baxter, R. J. (1964). Direct Correlation Functions and Their Derivatives with Respect to Particle Density. The Journal of Chemical Physics, 41(2), 553â558.

Authors 1

R. J. Baxter (first)

References 12 Referenced 51

10.1103/PhysRevLett.8.462 / Phys. Rev. Letters (1962)
{'key': '2024020822521115500_r2', 'first-page': '793', 'volume': '17', 'year': '1914', 'journal-title': 'Proc. Acad. Sci. Amsterdam'} / Proc. Acad. Sci. Amsterdam (1914)
10.1103/PhysRev.100.981 / Phys. Rev. (1955)
10.1016/0003-4916(58)90058-7 / Ann. Phys. (N.Y.) (1958)
10.1063/1.1711052 / Phys. Fluids (1964)
{'key': '2024020822521115500_r6'}
{'key': '2024020822521115500_r7', 'first-page': '234', 'volume': '4', 'year': '1963', 'journal-title': 'J. Math. Phys.'} / J. Math. Phys. (1963)
10.1063/1.1703652 / J. Math. Phys. (1960)
{'key': '2024020822521115500_r9', 'first-page': '10', 'volume': 'A118', 'year': '1946', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1946)
10.1063/1.1749657 / J. Chem. Phys. (1935)
{'key': '2024020822521115500_r11'}
10.1143/PTP.22.213 / Progr. Theoret. Phys. (Kyoto) (1959)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 9, 2005, 1:59 a.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 5:52 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 7:21 a.m.)
Issued	61 years, 1 month ago (July 15, 1964)
Published	61 years, 1 month ago (July 15, 1964)
Published Print	61 years, 1 month ago (July 15, 1964)

Funders 0

None

BibTeX

@article{Baxter_1964, title={Direct Correlation Functions and Their Derivatives with Respect to Particle Density}, volume={41}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1725907}, DOI={10.1063/1.1725907}, number={2}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Baxter, R. J.}, year={1964}, month=jul, pages={553–558} }

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