Dynamics of Fractal Structures

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There are a number of physical systems exhibiting measurable dynamical properties which exhibit fractal geometry. Examples are : site-diluted magnetic structures, silica aerogels and glasses and amorphous materials. Computer simulations are essential to develop the insight into the dynamics of fractal structures, i.e., they do more than simply verify physical assumptions. The purpose of this project is to understand the very nature of the excitations of strongly random structures, and ultimately enable the investigator to develop phenomenological expressions for physical quantities. This project will shed considerable light on the debate over the use of scaling for the interpretation of light scattering experiments, as well as for the calculation of matrix elements for vibrational (hopping) transport processes.