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Anomalous Size Dependence of Relaxational Processes

Armin Bunde·Shlomo Havlin·Joseph Klafter·Gernot Graff·Arkady Shehter
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Abstract

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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Armin Bunde, Shlomo Havlin, Joseph Klafter, Gernot Graff, Arkady Shehter. 1999-04-14. Anomalous Size Dependence of Relaxational Processes. https://doi.org/10.1103/physrevlett.78.3338

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