We investigate the role of system size on stretched-exponential relaxation which arises from a convolution of two competing exponential processes. We find that above a cross-over time tx that depends logarithmically on the size of the system the relaxation changes from a stretched exponential to a single-exponential decay. The rate of the exponential also depends logarithmically on the system size. This anomalous size dependence is exemplified by the trapping problem and by the model of hierarchically constrained dynamics.
|Number of pages||7|
|Journal||Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties|
|State||Published - May 1998|