Velocity dispersion and attenuation of acoustic waves in critical mixtures

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Authors

  • T. HORNOWSKI Institute of Acoustics Adam Mickiewicz University, Poland
  • M. ŁABOWSKI Institute of Acoustics Adam Mickiewicz University, Poland

Abstract

Theoretical considerations on critical ultrasonic dispersion and attenuation in binary liquid mixtures based on the mode-coupling approach and frequency-dependent heat capacity are presented. A general expression for the critical amplitude A (T) in terms of the parameter d = (ρc^0_v,x/Tα_p) x (dT_c/dP) is derived. It is shown that for specific values of d one obtains expressions for A (T) equivalent to those of Fixman, Kawasaki, Mistura and Chaban. Moreover, an experimental test has been carried out on the system methanol-n-hexane showing good agreement between our general expression for A (T) and experimental data.

References

[1] L. P. KADANOFF, J. SWIFT, Phys. Rev., 166, 89 (1968).

[2] K. KAWASAKI, Phys. Rev., A1, 1750 (1970).

[3] Y. SHIWA, K. KAWASAKI, Progr. Theor. Phys., 66, 406 (1981).

[4] L. MISTURA, J. Chem. Phys., 57, 2311 (1972).

[5] I. A. CHABAN, Akust. Zh., 21, 104 (1975).

[6] L. A. CHABAN, Akust. Zh., 21, 286 (1975).