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.
Similar content being viewed by others
References
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © G.A. Martynov, 2017, published in Teplofizika Vysokikh Temperatur, 2017, Vol. 55, No. 3, pp. 375–379.
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018151X17020109