Abstract

We calculate critical effects in the sound propagation in mixturesnear consolute or plait points within a non-asymptotic renormalizationgroup theory and derive general expressions for the frequency-dependentsound velocity and sound attenuation. The critical non-asymptotictime scale in the sound mode in mixtures is set by an effective orderparameter Onsager coefficient containing a dynamical parameter relatedto the enhancement of the thermal conductivity in the mixture, notconsidered so far.The differences in the critical behavior near the consolute and plaitpoint are due to the different non-asymptotic behavior of the zero-frequency sound velocity. We compare our predictions for the soundvelocity and sound absorption near the plait point in 3He-4Hemixtures.

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