Abstract
Power-law and exponential asymptotics of distribution functions are analyzed based on the Ornstein–Zernike equation. The correlation length at the critical point is shown to remain finite and, therefore, the partition function has no singularity at this point.
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Ornstein, L.S. and Zernike, F., Proc. K. Ned. Akad. Wet., 1914, vol. 17, p. 793.
Enderbly, J.E., Gaskell, N., and March, N.H., Proc. Phys. Soc., 1965, vol. 85, no. 2, p. 217.
Kuni, F.M., Dokl. Akad. Nauk SSSR, 1968, vol. 179, no. 1, p. 129.
Martynov, G.A., Fundamental Theory of Liquids, Bristol, Philadelphia, New York: Adam Hilger, 1992.
Martynov, G.A., Klassicheskaya statisticheskaya mekhanika. Teoriya zhidkostei (Classical Statistical Mechanics. The Theory of Liquids), Moscow: Intellekt, 2011.
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Original Russian Text © G.A. Martynov, 2017, published in Teplofizika Vysokikh Temperatur, 2017, Vol. 55, No. 3, pp. 375–379.
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Martynov, G.A. The asymptotics of correlation functions and liquid–vapor phase transitions. High Temp 55, 361–364 (2017). https://doi.org/10.1134/S0018151X17020109
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DOI: https://doi.org/10.1134/S0018151X17020109