Anomalous size dependence of relaxational processes

Armin Bunde, Shlomo Havlin, Joseph Klafter, Gernot Gräff, Arkady Shehter

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


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.

Original languageEnglish
Pages (from-to)3338-3341
Number of pages4
JournalPhysical Review Letters
Issue number17
StatePublished - 28 Apr 1997


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