Abstract
A model classical fluid is constructed by assuming that the direct correlation functionc(r − r′) is independent of any applied external field. Thermodynamic consistency requires thatc(r − r′) ⩾ 0, and permits explicit representation of the model by a many-body interaction potential. In the canonical ensemble, the model shows a phase transition to an infinite density condensed phase, but in the grand canonical ensemble only an anomalous transition to zero density vapor is found to stably exist.
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References
J. K. Percus,J. Stat. Phys. 28:67 (1982).
B. Jancovici,J. Stat. Phys. 34:803 (1984).
M. E. Fisher and B. U. Felderhof,Ann. Phys. (N.Y.) 58:176 (1970).
G. Nevascues and P. Tarazona,J. Mol. Phys. 37:1077 (1979).
M. S. Wertheim,J. Chem. Phys. 65:2377 (1976).
J. D. Van der Waals,Z. Phy. Chem. 13:657 (1894).
J. H. Gibbs, S. N. Bagchi, and U. Mohanty,Phys. Rev. B 24:2893 (1981).
J. K. Percus, inThe Liquid State, E. W. Montroll and J. L. Lebowitz, eds. (North-Holland, New York, 1982).
J. K. Percus, inClassical Fluids, H. L. Frisch and J. L. Lebowitz, eds. (Benjamin, New York, 1964).
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Percus, J.K. Some solvable models of nonuniform classical fluids. J Stat Phys 42, 921–930 (1986). https://doi.org/10.1007/BF01010452
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DOI: https://doi.org/10.1007/BF01010452