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Comments on universality of critical exponents for fluid systems

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Abstract

Critical exponents (γ, ν, β, andμ) of one-component fluid systems from recent experiments show agreement with the universality concept and the critical exponent relations. Variations in the magnitude of exponents from different systems are well within the limits of error of present-day techniques. Thus, it is within reason to expect that observable deviations from universality could come from more complex fluid mixtures, where such a concept may break down, even though, based on published literature values, the prospects remain very small.

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References

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

    Google Scholar 

  2. B. Widom, “Critical Phenomena in the Surface Tension of Fluids,” to be published.

  3. B. Chu and J. S. Lin,J. Chem. Phys. 53:4454 (1970).

    Google Scholar 

  4. M. Vicentini-Missoni, J. M. H. Levelt Sengers, and M. S. Green,Phys. Rev. Lett. 22:389 (1969).

    Google Scholar 

  5. M. A. Bouchiat and J. Mevnier,Phys. Rev. Lett. 23:752 (1969);J. de Physique 31-C1:141 (1972).

    Google Scholar 

  6. J. A. White and B. S. Maccabee,Phys. Rev. Lett. 26:1468 (1971).

    Google Scholar 

  7. J. H. Lunacek and D. S. Cannell,Phys. Rev. Lett. 27:841 (1971).

    Google Scholar 

  8. I. W. Smith, M. Giglio, and G. B. Benedek,Phys. Rev. Lett. 27:1556 (1971).

    Google Scholar 

  9. V. G. Puglielli and N. C. Ford, Jr.,Phys. Rev. Lett. 25:143 (1970).

    Google Scholar 

  10. H. D. Bale, B. C. Dobbs, J. S. Lin, and P. W. Schmidt,Phys. Rev. Lett. 25:1556 (1970).

    Google Scholar 

  11. F. J. Schoenes,Ber. Bun. Physik. Chemie 76:228 (1972).

    Google Scholar 

  12. B. S. Maccabee and J. A. White,Phys. Rev. Lett. 27:495 (1971).

    Google Scholar 

  13. D. S. Cannell and G. B. Benedek,Phys. Rev. Lett. 25:1157 (1970).

    Google Scholar 

  14. P. Braun, D. Hammer, W. Tscharnuter, and P. Weinzierl,Phys. Lett. 32A:390 (1970).

    Google Scholar 

  15. G. B. Benedek, J. B. Lastovska, M. Giglio, and D. Cannell, inCritical Phenomena, R. E. Mills and R. I. Jaffee, eds. (McGraw-Hill, New York, 1971).

    Google Scholar 

  16. U. Grigull and J. Straub,Progress in Heat and Mass Transfer 2:151 (1969).

    Google Scholar 

  17. B. L. Smith, P. R. Gardner, and E. H. C. Parker,J. Chem. Phys. 47:1148 (1967).

    Google Scholar 

  18. E. S. Wu and W. W. Webb,J. de Physique 31-C1:149 (1972).

    Google Scholar 

  19. D. Stansfield,Proc. Phys. Soc. 72:854 (1958).

    Google Scholar 

  20. G. T. Feke, G. A. Hawkins, J. B. Lastovka, and G. B. Benedek,Phys. Rev. Lett. 27:1780 (1971).

    Google Scholar 

  21. T. K. Lim, H. L. Swinney, K. H. Langley, and T. A. Kachnowski,Phys. Rev. Lett. 27:1776 (1971).

    Google Scholar 

  22. B. Chu,Ber. Bun. Physik. Chemie 76:202 (1972).

    Google Scholar 

  23. M. Giglio and G. B. Benedek,Phys. Rev. Lett. 23:1145 (1969).

    Google Scholar 

  24. M. E. Fisher,Phys. Rev. 180:594 (1969).

    Google Scholar 

  25. M. E. Fisher, private communication.

  26. J. A. Lipa, C. Edwards, and M. J. Buckingham,Phys. Rev. Lett. 25:1086 (1970).

    Google Scholar 

  27. D. R. Thompson and O. K. Rice,J. Am. Chem. Soc. 86:3547 (1964).

    Google Scholar 

  28. M. J. Buckingham, private discussion.

  29. R. J. Baxter,Phys. Rev. Lett. 26:832 (1971).

    Google Scholar 

  30. B. Chu, F. J. Schoenes, and W. P. Kao,J. Am. Chem. Soc. 90:3042 (1968).

    Google Scholar 

  31. P. Calmettes, I. Lagues, and C. Laj,J. de Physique 31-C1:121 (1972).

    Google Scholar 

  32. A. M. Wims, D. McIntyre, and F. Hynne,J. Chem. Phys. 50:616 (1969).

    Google Scholar 

  33. F. P. Buff and R. A. Lovett, inSimple Dense Fluids, H. L. Frisch and Z. W. Salsburg, eds. (Academic Press, New York, 1968).

    Google Scholar 

  34. P. N. Pusey and W. I. Goldburg,Phys. Rev. A3:766 (1971).

    Google Scholar 

  35. B. Chu, D. Thiel, W. Tscharnuter, and D. V. Fenby,J. de Physique 31-C1:111 (1972).

    Google Scholar 

  36. G. W. Paul and L. E. Marc de Chazal, presented at the American Chemical Society Meeting in Chicago, September 1970.

  37. R. F. Chang, P. H. Keyes, J. V. Sengers, and C. O. Alley,Phys. Rev. Lett. 27:1706 (1971).

    Google Scholar 

  38. A. M. Wims, J. V. Sngers, D. McIntyre, and J. Shereshefsky,J. Chem. Phys. 52:3042 (1970).

    Google Scholar 

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Work supported by the National Science Foundation, and the U.S. Army Research Office, Durham.

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Chu, B. Comments on universality of critical exponents for fluid systems. J Stat Phys 6, 173–177 (1972). https://doi.org/10.1007/BF01023685

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