CLUSTER-SIZE DISTRIBUTION AND RELAXATION LONG-TIME TAILS

Relaxation phenomena such as the dielectric, magnetic and mechanical r elaxation of many disordered physical systems exhibit universal featur es in particular for long time one often observes an exponential behav ior known as long time tail relaxation. We show that if individual clu sters in these materials have a relaxation time proportional to the cl uster size. the existence of a stable probability size distribution wi th a long tail power law changes dramatically the relaxation rate, fro m an initial exponential relaxation to a long time tail t(-alpha). In this case it is the morphology of the system which determines its kine tics.