Anomalous Size Dependence of Relaxational Processes

Details Anomalous Size Dependence of Relaxational Processes Anomalous Size Dependence of Relaxational Processes

1999-04-14

arxiv.org/abs/cond-mat/9904195v1

Phys. Rev. Lett. 78, 3338 (1997)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.78.3338

We consider relaxation processes that exhibit a stretched exponential behavior. We find that in those systems, where the relaxation arises from two competing exponential processes, the size of the system may play a dominant role. Above a crossover time tx that depends logarithmically on the size of the system the relaxation changes from a stretched exponential to a simple exponential decay, where the decay rate also depends logarithmically on the size of the system. This result is relevant to large-scale Monte-Carlo simulations and should be amenable to experimental verification in low-dimensional and mesoscopic systems.

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