Propagation gap for shear waves in binary liquids: Analytical and simulation study

Abstract

Transverse collective excitations in a binary liquid mixture are studied for different mass ratio of components $R$ at fixed numerical density. Increasing the mass ratio results in a larger gap width for shear waves. A four-variable dynamic model of transverse dynamics in binary liquids is solved analytically with an account of cross-correlations between total mass and mass-concentration current fluctuations. An equation for the propagation gap of shear waves for binary liquids is reported and analyzed.

15 pages, 6 figures