Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2009-11-14
Phys. Rev. B, 80, 024115 (2009)
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 RevTeX pages, 3 figures
Scientific paper
10.1103/PhysRevB.80.024115
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.
Prudnikov Pavel V.
Prudnikov Vladimir V.
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