HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 24 (1960) > Number 3
| Next Article >

Prog. Theor. Phys. Vol. 24 No. 3 (1960) pp. 588-592

[ Full Text PDF : FREE ACCESS (376K) ]

Theory of Classical Fluids and the Convolution Approximation (Note on Papers by Tohru Morita)

Emmanuel Meeron

Theoretical Physics Group, Boeing Scientific Research Laboratories, P. O. Box 3707, Seattle 24, Washington, U.S.A.

(Received April 19, 1960)

Abstract:

A method employed by Morita for the approximate calculation of the free energy and pair distribution function of classical fluids is seen to be identical with the nodal expansion method. The limit of the nodal expansion sequence results in an approximate integral equation for the potential of average force. This convolution approximation is seen to be consistent with the Ornstein-Zernike theory of fluids, and thus provides a convenient means for investigating the behavior of fluids near the critical point. The convolution approximation results also from neglecting the non-convolutory terms in an exact integral equation for the pair distribution function.


URL : http://ptp.ipap.jp/link?PTP/24/588/
DOI : 10.1143/PTP.24.588

[ Full Text PDF : FREE ACCESS (376K) ] Citation:

References:

  1. T. Morita, Prog. Theor. Phys. 20 (1958), 920[PTP].
  2. T. Morita, Prog. Theor. Phys. 21 (1959), 361[PTP].
  3. T. Morita, Prog. Theor. Phys. 23 (1960), 175[PTP].
  4. E. Meeron, J. Chem. Phys. 28 (1958), 630[CrossRef]; ibid. 26 (1957), 804[CrossRef].
  5. E. Meeron, Phys. Fluids 1 (1958), 130[AIP Scitation].
  6. E. Meeron, J. Chem. Phys. 28 (1958), 505 [CrossRef][ Errata; 29 (1958), 444[AIP Scitation]].
  7. E. Meeron, and E. R. Rodemich, Phys. Fluids 1 (1958), 246[AIP Scitation].
  8. E. W. Montroll and J. E. Mayer, J. Chem. Phys. 9 (1941), 626[CrossRef]; see also Appendix to reference 4).
  9. American Physical Society Annual Meeting, Jan. 28-31, 1959, New York, N. Y.
  10. E. Meeron, Proceedings of the International Symposium on Electrolytes, Trieste, Italy, June 6-12, 1959 (Pergamon Press, in press); BSRL report D1-82-0036, available on request.
  11. E. Meeron, Physica 26 (1960), 445[CrossRef].
  12. E. Meeron, submitted to Phys. Rev.
  13. E. Meeron, J. Math. Phys., in press; BSRL report D1-82-0041 (Jan. 1960), available on request.
  14. International Plasma Physics Institute, Seattle, Washington, Aug. 31-Sept. 5, 1959.
  15. R. V. Hanks, submitted to Physica.
  16. E. Meeron, Bull. Am. Phys. Soc. 5 (1960), 8.
  17. See, e.g. L. Goldstein, Ann. of Phys. 1 (1957), 33[CrossRef].

Citing Article(s) :

  1. 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
  2. Progress of Theoretical Physics Vol. 27 No. 5 (1962) pp. 1025-1062 :
    Some Remarks on the Theory of Condensation
    Takesi Yosida and Kazuyosi Ikeda

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.