COMPUTER-SIMULATION OF VIBRATION SPECTRUM IN DISORDERED-SYSTEMS

The disordered systems are of fractal structures. Alexander and Orbach showed that the vibrational density of states for fractal nets follow . the universal law:D(omega) similar to omega(2-:) where d is the spec tral (fracton) dimensionality;d=4/3 for any Euclidean dimension d. The excitations belonging to this class were named ''fractons''. We have employed a novel numerical method developed by Williams er al. and per formed computer simulation. We have pointed out that the connection be tween the vibration spectrum and the ultrasonic attenuation in sintere d metal powders.