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.
Similar content being viewed by others
References
See, e.g., Phase Transitions, M. Levy, J. C. Le Guillou, and J. Zinn-Justin, eds. (Plenum, New York, 1982).
P. Debye and R. T. Jacobsen, J. Chem. Phys. 48:203 (1968).
R. Piazza, T. Bellini, V. Degiorgio, R. E. Goldstein, S. Leibler and R. Lipowsky, Phys. Rev. B 38:7223 (1988).
See, e.g., K. G. Wilson, Sci. Am. 241–2:140 (1979); K. G. Wilson and J. Kogut, Phys. Rep. 12C:75 (1974).
C. Bervillier and C. Bagnuls, Private communication (1988).
See, e.g., B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
M. Tence, J. P. Chevalier, and R. Jullien, J. Phys. 47:1989 (1986).
See, e.g., S. Hayward, D. Heermann, and K. Binder, J. Stat. Phys. 49:1053 (1987).
See, e.g., J. Teixeira, in On Growth and Form, H. E. Stanley and N. Ostrowsky, eds. (Nijhoff, Boston, 1986).
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).
F. Family, in Universalities in Condensed Matter, R. Jullien, L. Peliti, R. Rammal, and N. Boccara, eds. (Springer, Heidelberg, 1988).
Author information
Authors and Affiliations
Rights 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
Issue Date:
DOI: https://doi.org/10.1007/BF00503857