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A crossover description for the thermodynamic properties of fluids in the critical region

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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.

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References

  1. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954).

    Google Scholar 

  2. 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.

    Google Scholar 

  3. K. G. Wilson, Phys. Rev. B 4:3174 (1971).

    Google Scholar 

  4. M. E. Fisher, Rev. Mod. Phys. 46:597 (1974).

    Google Scholar 

  5. F. J. Wegner, Phys. Rev. B 5:4529 (1972).

    Google Scholar 

  6. M. Ley-Koo and M. S. Green, Phys. Rev. A 16:2483 (1977).

    Google Scholar 

  7. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, New York, 1980).

    Google Scholar 

  8. B. Widom, J. Chem. Phys. 43:3898 (1965).

    Google Scholar 

  9. C. Domb and M. S. Green (eds.), Phase Transitions and Critical Phenomena, Vol. 6 (Academic Press, New York, 1976).

    Google Scholar 

  10. M. Levy, J. C. Le Guillou, and J. Zinn-Justin (eds.), Phase Transitions: Cargèse 1980 (Plenum, New York, 1982).

    Google Scholar 

  11. M. Ley-Koo and M. S. Green, Phys. Rev. A 23:2650 (1981).

    Google Scholar 

  12. J. V. Sengers and J. M. H. Levelt Sengers, Int. J. Thermophys. 5:195 (1984).

    Google Scholar 

  13. M. R. Moldover, Ref. 10, ) p. 63.

    Google Scholar 

  14. D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena (McGraw-Hill, New York, 1978).

    Google Scholar 

  15. J. F. Nicoll and P. C. Albright, Phys. Rev. B 31:4576 (1985).

    Google Scholar 

  16. J. F. Nicoll, Phys. Rev. A 24:2203 (1981).

    Google Scholar 

  17. J. F. Nicoll and J. K. Bhattacharjee, Phys. Rev. B 23:389 (1981).

    Google Scholar 

  18. P. C. Albright, Ph.D. thesis (University of Maryland, College Park, 1985).

    Google Scholar 

  19. 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.

    Google Scholar 

  20. F. C. Zhang and R. K. P. Zia, J. Phys. A 15:3303 (1982).

    Google Scholar 

  21. J. F. Nicoll and P. C. Albright, Preprint (1985).

  22. G. A. Chapela and J. S. Rowlinson, J. Chem. Soc. Faraday (I) 70:584 (1974).

    Google Scholar 

  23. H. W. Wooley, Int. J. Thermophys. 4:51 (1983).

    Google Scholar 

  24. J. Fox, Fluid Phase Equil. 14:45 (1983).

    Google Scholar 

  25. D. D. Erickson and T. W. Leland, Int. J. Thermophys. (in press).

Download references

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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

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