Stretched-exponential relaxation: The role of system size

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

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1323-1329
Number of pages7
JournalPhilosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Issue number5
StatePublished - May 1998


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