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

TL;DR

This paper investigates shear wave propagation gaps in binary liquids with varying mass ratios, combining analytical modeling and simulations to understand how mass ratio influences shear wave behavior.

Contribution

It introduces a four-variable dynamic model accounting for cross-correlations, providing an analytical equation for the shear wave propagation gap in binary liquids.

Findings

Increasing mass ratio widens the shear wave gap.

Analytical model matches simulation results.

Cross-correlations significantly affect shear wave dynamics.

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.