Scaling frequency in the critical sound attenuation of binary liquidsR. Behrends and U. Kaatze
Drittes Physikalisches Institut, Georg-August-Universität Bürgerstrasse 42-44, 37073 Göttingen, Germany
(Received 15 July 2003; accepted in final form 6 November 2003)
For the ethanol-dodecane and methanol-cyclohexane mixtures of critical composition ultrasonic attenuation, shear viscosity, and dynamic light scattering data are evaluated to yield the scaled half-attenuation frequency of the Bhattacharjee-Ferrell dynamic scaling model as well as the Folk-Moser and the Onuki scaling functions. Within the limits of experimental error, the experimental half-attenuation frequency values for the former model ( ) agree with the theoretical prediction. The values derived for the Folk-Moser and the Onuki scaling functions exhibit systematic deviations from the theoretical values and . The results show that, at least for systems without crossover to elementary chemical reactions, the frequency scale in the dynamic scaling model, which had been obtained by including a special hydrodynamic effect, is in accord with experimental evidence.
68.35.Rh - Phase transitions and critical phenomena.
62.60.+v - Acoustical properties of liquids.
© EDP Sciences 2004