Dynamic scaling theory of the critical attenuation and dispersion of sound in a classical fluid: The binary liquid

Richard A. Ferrell and Jayanta K. Bhattacharjee
Phys. Rev. A 31, 1788 – Published 1 March 1985
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Abstract

Following the ideas of Herzfeld, Rice, Fixman, and Mistura, we are able to establish the adiabatic temperature oscillations as the sole origin of the critical attenuation and dispersion near the consolute point of a binary liquid. Special attention is given to the scaling function F(Ω) for the attenuation normalized to its consolute-point value, where Ω is the frequency, scaled by the relaxation rate of the fluid. By imposing some general conditions, we are led to the empirical function F(Ω)=(1+Ω1/2)2, which is in excellent agreement with the data of Garland and Sanchez. By including a new hydrodynamic effect, we find that the frequency scale is also in accord with experiment.

  • Received 13 August 1984

DOI:https://doi.org/10.1103/PhysRevA.31.1788

©1985 American Physical Society

Authors & Affiliations

Richard A. Ferrell

  • Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

Jayanta K. Bhattacharjee

  • Department of Physics, Indian Institute of Technology, Kanpur 208016, India

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Vol. 31, Iss. 3 — March 1985

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