Conference paper

Publication year: 1998

Pages: 1323-1329

Journal: The philosophical magazine. B, Statistical mechanics, electronic, optical and magnetic properties

Volume number: 77

Issue number: 5

ISSN: 0141-8637

DOI Link: https://doi.org/10.1080/13642819808205025

Conference: Minerva Workshop on Mesoscopics, Fractals and Neural Networks

Publisher: Taylor & Francis

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.

Harvard Citation style: Bunde, A., Havlin, S., Klafter, J., Graff, G. and Shehter, A. (1998) Stretched-exponential relaxation: the role of system size, PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 77(5), pp. 1323-1329. https://doi.org/10.1080/13642819808205025

APA Citation style: Bunde, A., Havlin, S., Klafter, J., Graff, G., & Shehter, A. (1998). Stretched-exponential relaxation: the role of system size. PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES. 77(5), 1323-1329. https://doi.org/10.1080/13642819808205025