Computer Simulation of Vibration Spectrum in Disordered Systems

Abstract
The disordered systems are of fractal structures. Alexander and Orbach showed that the vibrational density of states for fractal nets follows the unïversal law : D(w)≈w^d- -where d- is the spectral (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 et al. and performed computer simulation. We have pointed out that the connection between the vibration spectrum and the ultrasonic attenuation in sintered metal powders.