Abstract
We have developed a “crossover” formalism that reconciles the singular asymptotic critical behavior of the thermodynamic properties of fluids with the classical behavior of these properties well away from the critical point. The proposed formalism is based on theoretical predictions for the crossover behavior suggested by the renormalization-group theory of critical phenomena. We demonstrate the formalism for a fluid whose classical behavior away from the critical point is represented by the equation of state of van der Waals.
Similar content being viewed by others
References
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
J. V. Sengers and J. M. H. Levelt Sengers, in Progress in Liquid Physics, C. A. Croxton, ed. (Wiley, Chichester, U.K., 1978), p. 103.
K. G. Wilson, Phys. Rev. B 4:3174 (1971).
M. E. Fisher, Rev. Mod. Phys. 46:597 (1974).
F. J. Wegner, Phys. Rev. B 5:4529 (1972).
M. Ley-Koo and M. S. Green, Phys. Rev. A 16:2483 (1977).
L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, New York, 1980).
B. Widom, J. Chem. Phys. 43:3898 (1965).
C. Domb and M. S. Green (eds.), Phase Transitions and Critical Phenomena, Vol. 6 (Academic Press, New York, 1976).
M. Levy, J. C. Le Guillou, and J. Zinn-Justin (eds.), Phase Transitions: Cargèse 1980 (Plenum, New York, 1982).
M. Ley-Koo and M. S. Green, Phys. Rev. A 23:2650 (1981).
J. V. Sengers and J. M. H. Levelt Sengers, Int. J. Thermophys. 5:195 (1984).
M. R. Moldover, Ref. 10, ) p. 63.
D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena (McGraw-Hill, New York, 1978).
J. F. Nicoll and P. C. Albright, Phys. Rev. B 31:4576 (1985).
J. F. Nicoll, Phys. Rev. A 24:2203 (1981).
J. F. Nicoll and J. K. Bhattacharjee, Phys. Rev. B 23:389 (1981).
P. C. Albright, Ph.D. thesis (University of Maryland, College Park, 1985).
J. F. Nicoll and P. C. Albright, in Proceedings of the Eighth Symposium on Thermophysical Properties, J. V. Sengers, ed. (ASME, New York, 1982), Vol. I, p. 377.
F. C. Zhang and R. K. P. Zia, J. Phys. A 15:3303 (1982).
J. F. Nicoll and P. C. Albright, Preprint (1985).
G. A. Chapela and J. S. Rowlinson, J. Chem. Soc. Faraday (I) 70:584 (1974).
H. W. Wooley, Int. J. Thermophys. 4:51 (1983).
J. Fox, Fluid Phase Equil. 14:45 (1983).
D. D. Erickson and T. W. Leland, Int. J. Thermophys. (in press).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Albright, P.C., Sengers, J.V., Nicoll, J.F. et al. A crossover description for the thermodynamic properties of fluids in the critical region. Int J Thermophys 7, 75–85 (1986). https://doi.org/10.1007/BF00503800
Issue Date:
DOI: https://doi.org/10.1007/BF00503800