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Prog. Theor. Phys. Vol. 21 No. 3 (1959) pp. 361-382
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
References:
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- K. Fuchs, Proc. Roy. Soc. A 179 (1942), 408.
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E. Meeron, J. Chem. Phys. 27 (1957), 1238[CrossRef].
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E. W. Montroll and J. E. Mayer, J. Chem. Phys. 9 (1941), 626[CrossRef].
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- e.g., R. H. Fowler and E. A. Guggenheim, Statistical Thermodynamics (Cambridge U. P., 1952), §§910-912.
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J. E. Mayer, J. Chem. Phys. 18 (1950), 1426[CrossRef].
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E. Meeron, J. Chem. Phys. 26 (1957), 804[CrossRef].
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E. Meeron, J. Chem. Phys. 28 (1958), 630[CrossRef].
- N. N. Bogolyubov, Problems of the Dynamical Theory in Statistical Physics (1946).
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K. Hiroike, J. Phys. Soc. Jpn. 12 (1957), 864[JPSJ].
- cf. T. L. Hill, Statistical Mechanics (McGraw-Hill Book Co. Inc., 1956), §31.
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J. E. Mayer, J. Chem. Phys. 10 (1942), 629[CrossRef].
W. G. McMillan and J. E. Mayer, J. Chem. Phys. 13 (1945), 276[CrossRef].
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E. Meeron, Phys. Fluids 1 (1958), 246[AIP Scitation].
Citing Article(s) :
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