Journal article

Publication year: 1997

Pages: 3338-3341

Journal: Physical Review Letters

Volume number: 78

Issue number: 17

ISSN: 0031-9007

Open access status: Green

DOI Link: https://doi.org/10.1103/PhysRevLett.78.3338

Publisher: American Physical Society

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 t(x) 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.

Harvard Citation style: Bunde, A., Havlin, S., Klafter, J., Graff, G. and Shehter, A. (1997) Anomalous size dependence of relaxational processes, Physical Review Letters, 78(17), pp. 3338-3341. https://doi.org/10.1103/PhysRevLett.78.3338

APA Citation style: Bunde, A., Havlin, S., Klafter, J., Graff, G., & Shehter, A. (1997). Anomalous size dependence of relaxational processes. Physical Review Letters. 78(17), 3338-3341. https://doi.org/10.1103/PhysRevLett.78.3338