TY - JOUR
T1 - Stretched-exponential relaxation
T2 - The role of system size
AU - Bunde, Armin
AU - Havlin, Shlomo
AU - Klafter, Joseph
AU - Graff, Gernot
AU - Shehter, Arkady
PY - 1998/5
Y1 - 1998/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0032070215&partnerID=8YFLogxK
U2 - 10.1080/13642819808205025
DO - 10.1080/13642819808205025
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AN - SCOPUS:0032070215
SN - 1364-2812
VL - 77
SP - 1323
EP - 1329
JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
IS - 5
ER -