The field-theoretic description of dynamical critical effects of the influence of disorder on acoustic anomalies near the temperature of the second-order phase transition is considered for three-dimensional Ising-like systems. Calculations of the sound attenuation in pure and dilute Ising-like systems near the critical point are presented. The dynamical scaling function for the critical attenuation coefficient is calculated. The influence of quenched disorder on the asymptotic behaviour of the critical ultrasonic anomalies is discussed.The field-theoretic description of dynamical critical effects of the influence of disorder on acoustic anomalies near the temperature of the second-order phase transition is considered for three-dimensional Ising-like systems. Calculations of the sound attenuation in pure and dilute Ising-like systems near the critical point are presented. The dynamical scaling function for the critical attenuation coefficient is calculated. The influence of quenched disorder on the asymptotic behaviour of the critical ultrasonic anomalies is discussed.

arXiv:cond-mat/0512316Journal of Physics Condensed MatterNov 1, 20054 citations

Critical sound attenuation of three-dimensional Ising systems

Pavel Vladimirovich Prudnikov, Vladimir V. Prudnikov

The field-theoretic description of dynamic critical effects of the disorder on acoustic anomalies near the temperature of second-order phase transition is considered for three-dimensional Ising-like systems.The calculations of sound attenuation in high temperature phase for pure and diluted Ising-like systems near the critical point are presented.The dynamic scaling function for critical attenuation coefficient is calculated.The effect of the quenched disorder on asymptotic behaviour of the critical ultrasonic anomalies is discussed.The field-theoretic description of dynamic critical effects of the disorder on acoustic anomalies near the temperature of second-order phase transition is considered for three-dimensional Ising-like systems.The calculations of sound attenuation in high temperature phase for pure and diluted Ising-like systems near the critical point are presented.The dynamic scaling function for critical attenuation coefficient is calculated.The effect of the quenched disorder on asymptotic behaviour of the critical ultrasonic anomalies is discussed.

Condensed Matter PhysicsJan 1, 20061 citation

Finite size effects in critical dynamics

J. C. Niel, Jean Zinn‐Justin

Nuclear Physics BJan 1, 198759 citations

Scaling Laws for Dynamic Critical Phenomena

Wilhelm Brenig

Springer eBooksJan 1, 19890 citations

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

Pavel Vladimirovich Prudnikov, Vladimir V. Prudnikov

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.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.

arXiv:0911.2748Physical Review BJul 23, 20099 citations

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.