The influence of long-range correlated defects on critical ultrasound propagation in solids

TL;DR

This study investigates how long-range correlated structural defects affect ultrasound attenuation and velocity near critical points in three-dimensional Ising-like solids, using a field-theoretical approach.

Contribution

It provides a detailed field-theoretical analysis of the dynamic critical effects of long-range correlated defects on ultrasound propagation in solids.

Findings

Calculated temperature and frequency dependences of ultrasound characteristics.

Identified asymptotic behaviors in hydrodynamic and critical regions.

Discussed the impact of correlated disorder on ultrasonic anomalies.

Abstract

The effect of long-range correlated quenched structural defects on the critical ultrasound attenuation and sound velocity dispersion is studied for three-dimensional Ising-like systems. A field-theoretical description of the dynamic critical effects of ultrasound propagation in solids is performed with allowance for both fluctuation and relaxation attenuation mechanisms. The temperature and frequency dependences of the dynamical scaling functions of the ultrasound critical characteristics are calculated in a two-loop approximation for different values of the correlation parameter $a$ of the Weinrib-Halperin model with long-range correlated defects. The asymptotic behavior of the dynamical scaling functions in hydrodynamic and critical regions is separated. The influence of long-range correlated disorder on the asymptotic behavior of the critical ultrasonic anomalies is discussed.