Stretched-exponential relaxation: The role of system size

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

doi:10.1080/13642819808205025

Stretched-exponential relaxation: The role of system size

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

Department of Physics - at Bar-Ilan University

Justus Liebig University Giessen
Bar-Ilan University
Tel Aviv University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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 t_x 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 language	English
Pages (from-to)	1323-1329
Number of pages	7
Journal	Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume	77
Issue number	5
DOIs	https://doi.org/10.1080/13642819808205025
State	Published - May 1998

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Stretched-exponential relaxation: The role of system size

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