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Prog. Theor. Phys. Vol. 23 No. 6 (1960) pp. 1003-1027

[ Full Text PDF : FREE ACCESS (1459K) ]

A New Approach to the Theory of Classical Fluids. I

Tohru Morita and Kazuo Hiroike*

Research Institute for Fundamental Physics, Kyoto University, Kyoto
*Physics Department, Tokyo Institute of Technology, Tokyo

(Received January 25, 1960)

Abstract:

An exact integral equation is found for the pair distribution function. The integral equation is of somewhat different nature from the usual ones known in the theory of classical fluids, in the point that it involves an infinite series. The Helmholtz free energy is expressed as a series expansion which may be more rapidly convergent than the usual one. It is shown that the integral equation can be derived also by means of a variational principle from the expression for the free energy. It is pointed out that the theory of classical fluids may be constructed with the knowledge of the pair distribution function alone, even if a form of the pair interaction potential is not known.


URL : http://ptp.ipap.jp/link?PTP/23/1003/
DOI : 10.1143/PTP.23.1003

[ Full Text PDF : FREE ACCESS (1459K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 24 No. 2 (1960) pp. 317-330 :
    A New Approach to the Theory of Classical Fluids. II
    Kazuo Hiroike
  2. Progress of Theoretical Physics Vol. 25 No. 4 (1961) pp. 537-578 :
    A New Approach to the Theory of Classical Fluids. III
    Tohru Morita and Kazuo Hiroike
  3. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 342-360 :
    Variational Study of Ground State of a Bose-Einstein Fluid
    Kazuo Hiroike
  4. Progress of Theoretical Physics Vol. 27 No. 5 (1962) pp. 1025-1062 :
    Some Remarks on the Theory of Condensation
    Takesi Yosida and Kazuyosi Ikeda
  5. Progress of Theoretical Physics Vol. 40 No. 4 (1968) pp. 758-769 :
    Derivation of the Generalized Vlasov Equation for Classical Fluids
    Tohru Morita
  6. Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 339-349 :
    An Interpolation of the HNC and PY Integral Equations for Classical Fluids
    Tohru Morita
  7. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 660-671 :
    Ornstein-Zernike Relation for a Fluid Mixture
    Kazuo Hiroike and Yoshihiko Fukui
  8. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 860-870 :
    Virial Theorem for the Jastrow-Type Ground State of a Bose Fluid
    Kazuo Hiroike
  9. Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 21-40 :
    A Rigorous Justification of the Point B Method for Determination of Monolayer Capacity from a Type II Adsorption Isotherm
    Shinn-Tyan Wu
  10. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1005-1015 :
    The Direct Correlation Function of an Inhomogeneous Lattice Gas
    Shinn-Tyan Wu

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