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Communication: Nonexistence of a critical point within the Kirkwood superposition approximation
1. T. L. Hill, Statistical Mechanics (McGraw-Hill, New York, 1956).
2. I. Z. Fisher, Statistical Theory of Liquids (University of Chicago Press, Chicago, 1964).
3. S. A. Rice and P. Gray, The Statistical Mechanics of Simple Liquids (Interscience, New York, 1965).
11. P. C. Hemmer, Phys. Norv. 3, 9 (1968)
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An analytic argument is given to show that the application of the Kirkwood superposition approximation to the description of fluid correlation functions precludes the existence of a critical point. The argument holds irrespective of the dimension of the system and the specific form of the interaction potential and settles a long-standing controversy surrounding the nature of the critical behavior predicted within the approximation.
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