ANOMALOUS RELAXATION IN FRACTAL AND DISORDERED STRUCTURES

Abstract

For the purpose of clarifying the mechanisms of the anomalous relaxation, we carry out the Monte Carlo simulations of random walks in fractal and disordered structures. From our calculations of the relaxation functions and the complex susceptibilities, we find that the anomalous relaxation is of the Cole-Cole type in fractal structures while it is of the stretched-exponential type in non-fractal disordered structures. A most interesting aspect indicated by the results of our work is that the concept of “fractal”, originally introduced from purely mathematical point of view, is shown to play an important role in understanding some properties of realistic physical systems.