Prog. Theor. Phys. Vol. 23 No. 5 (1960) pp. 829-845

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Theory of Classical Fluids: Hyper-Netted Chain Approximation. III

— A New Integral Equation for the Pair Distribution Function —

Tohru Morita

Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received December 28, 1959)

Abstract:

The hyper-netted chain approximation proposed in I is reformulated. The formulae in this approximation are rederived for the free energy, chemical potential and pair distribution function. The pair distribution function in our approximation is shown to satisfy a new integral equation, which is compared with the Yvon, Born and Green one. Variational principle for our approximation is given.
Errata for I and II are given as appendix.

URL : http://ptp.ipap.jp/link?PTP/23/829/
DOI : 10.1143/PTP.23.829

References:

T. Morita, Prog. Theor. Phys. 20 (1958), 920, [PTP]to be referred to as I.
T. Morita, Prog. Theor. Phys. 21 (1959), 361, [PTP]to be referred to as II.
T. Morita, Prog. Theor. Phys. 23 (1960), 175, [PTP]to be referred to as IIIa.
J. E. Mayer and M. G. Mayer, Statistical Mechanics (J. Wiley, 1940).
E. Meeron, J. Chem. Phys. 28 (1958), 630[CrossRef].
K. Hiroike, J. Phys. Soc. Jpn. 12 (1957), 864[JPSJ].
H. S. Green, The Molecular Theory of Fluids (North-Holland Publishing Co., 1952), Chap. III, §6.

Citing Article(s) :

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A New Approach to the Theory of Classical Fluids. I

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Progress of Theoretical Physics Vol. 23 No. 6 (1960) pp. 1211-1213 :
Virial Expansion Formulae for the Microfield and Micropotential Distribution Functions and Their Application to a High Temperature Plasma

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Progress of Theoretical Physics Vol. 24 No. 3 (1960) pp. 679-681 :
A New Approach to the Theory of Classical Fluids. IIIa

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Progress of Theoretical Physics Vol. 25 No. 4 (1961) pp. 537-578 :
A New Approach to the Theory of Classical Fluids. III

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Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 342-360 :
Variational Study of Ground State of a Bose-Einstein Fluid

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Progress of Theoretical Physics Vol. 27 No. 5 (1962) pp. 1025-1062 :
Some Remarks on the Theory of Condensation

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Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 339-349 :
An Interpolation of the HNC and PY Integral Equations for Classical Fluids

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Progress of Theoretical Physics Vol. 71 No. 3 (1984) pp. 427-437 :
Hypernetted Chain Approximation, Convolution Approximation and Perfect Screening in Coulombic Many-Particle System

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