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Prog. Theor. Phys. Vol. 21 No. 3 (1959) pp. 361-382

[ Full Text PDF : FREE ACCESS (1156K) ]

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

— Formulation for Multi-Component Systems —

Tohru Morita

Physics Department, Tokyo Institute of Technology, Tokyo

(Received October 10, 1958)

Abstract:

Formulae of the free energy and the radial distribution function in the hyper-netted chain approximation are obtained for multi-component systems. The expansion formulae by means of the hyper-netted chains are also given for them, and also for the potentials of averate force of n particles.
Another expansion scheme is given which is suitable for comparison with the theories of ionic solutions in the past. The ring and watermelon approximations in this scheme are discussed in detail for the Coulombic potential and the Coulombic potential with hard core.


URL : http://ptp.ipap.jp/link?PTP/21/361/
DOI : 10.1143/PTP.21.361

[ Full Text PDF : FREE ACCESS (1156K) ] Citation:


References:

  1. T. Morita, Prog. Theor. Phys. 20 (1958), 920[PTP]; to be referred to as I.
  2. K. Fuchs, Proc. Roy. Soc. A 179 (1942), 408.
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  12. N. N. Bogolyubov, Problems of the Dynamical Theory in Statistical Physics (1946).
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  14. cf. T. L. Hill, Statistical Mechanics (McGraw-Hill Book Co. Inc., 1956), §31.
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 21 No. 3 (1959) pp. 421-430 :
    On the Kirkwood Superposition Approximation
    Ryuzo Abe
  2. Progress of Theoretical Physics Vol. 21 No. 4 (1959) pp. 501-510 :
    Expansion Formulae of the Free Energy and Distribution Functions in Powers of the One Particle Distribution Function
    Tohru Morita
  3. Progress of Theoretical Physics Vol. 22 No. 6 (1959) pp. 757-774 :
    Equation of State of High Temperature Plasma
    Tohru Morita
  4. Progress of Theoretical Physics Vol. 23 No. 1 (1960) pp. 175-177 :
    Theory of Classical Fluids: Hyper-Netted Chain Approximation. IIIa
    Tohru Morita
  5. Progress of Theoretical Physics Vol. 23 No. 5 (1960) pp. 829-845 :
    Theory of Classical Fluids: Hyper-Netted Chain Approximation. III
    Tohru Morita
  6. Progress of Theoretical Physics Vol. 23 No. 6 (1960) pp. 1003-1027 :
    A New Approach to the Theory of Classical Fluids. I
    Tohru Morita and Kazuo Hiroike
  7. 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
    Tohru Morita
  8. Progress of Theoretical Physics Vol. 24 No. 2 (1960) pp. 317-330 :
    A New Approach to the Theory of Classical Fluids. II
    Kazuo Hiroike
  9. Progress of Theoretical Physics Vol. 24 No. 3 (1960) pp. 588-592 :
    Theory of Classical Fluids and the Convolution Approximation (Note on Papers by Tohru Morita)
    Emmanuel Meeron
  10. Progress of Theoretical Physics Vol. 24 No. 3 (1960) pp. 679-681 :
    A New Approach to the Theory of Classical Fluids. IIIa
    Tohru Morita and Kazuo Hiroike
  11. 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
  12. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 342-360 :
    Variational Study of Ground State of a Bose-Einstein Fluid
    Kazuo Hiroike
  13. Progress of Theoretical Physics Vol. 27 No. 5 (1962) pp. 1025-1062 :
    Some Remarks on the Theory of Condensation
    Takesi Yosida and Kazuyosi Ikeda