Skip to main content
Log in

Direct observation of critical fluctuations in a binary mixture

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

Microscopic observations of concentration fluctuations in the range 1–500 μm have been performed in a number of binary fluids near their critical temperature (T c). A heterodyne technique has been used. The temperature range (T-T c = 1–25 mK) is such that the sizes of the fluctuations are larger than or equal to the correlation length, measured usually as the inverse half-width of the structure factor of the fluctuations. Image analysis has given some information about the free energy of the system determined from the intensity distribution function. Also, the shape of the fluctuations can be studied. These are self-similar over more than three decades, with a fractal dimension of D f = 2.8. This value is compared with a number of theoretical predictions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. See, e.g., Phase Transitions, M. Levy, J. C. Le Guillou, and J. Zinn-Justin, eds. (Plenum, New York, 1982).

    Google Scholar 

  2. P. Debye and R. T. Jacobsen, J. Chem. Phys. 48:203 (1968).

    Google Scholar 

  3. R. Piazza, T. Bellini, V. Degiorgio, R. E. Goldstein, S. Leibler and R. Lipowsky, Phys. Rev. B 38:7223 (1988).

    Google Scholar 

  4. See, e.g., K. G. Wilson, Sci. Am. 241–2:140 (1979); K. G. Wilson and J. Kogut, Phys. Rep. 12C:75 (1974).

    Google Scholar 

  5. C. Bervillier and C. Bagnuls, Private communication (1988).

  6. See, e.g., B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).

    Google Scholar 

  7. M. Tence, J. P. Chevalier, and R. Jullien, J. Phys. 47:1989 (1986).

    Google Scholar 

  8. See, e.g., S. Hayward, D. Heermann, and K. Binder, J. Stat. Phys. 49:1053 (1987).

    Google Scholar 

  9. See, e.g., J. Teixeira, in On Growth and Form, H. E. Stanley and N. Ostrowsky, eds. (Nijhoff, Boston, 1986).

    Google Scholar 

  10. See, e.g., A. Aharony, in Directions in Condensed Matter Physics, Memorial Volume in Honor of Sheng-Keng Ma, G. Grinstein and G. Mazenko, ed. (Singapore World Scientific, 1986).

  11. F. Family, in Universalities in Condensed Matter, R. Jullien, L. Peliti, R. Rammal, and N. Boccara, eds. (Springer, Heidelberg, 1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Beysens, D., Guenoun, P. & Perrot, F. Direct observation of critical fluctuations in a binary mixture. Int J Thermophys 11, 37–48 (1990). https://doi.org/10.1007/BF00503857

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00503857

Key words

Navigation