Konferenzpaper

Jahr der Veröffentlichung: 1998

Seiten: 1323-1329

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

Bandnummer: 77

Heftnummer: 5

ISSN: 0141-8637

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

Konferenz: Minerva Workshop on Mesoscopics, Fractals and Neural Networks

Verlag: 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-Zitierstil: 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-Zitierstil: 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