TY - JOUR
T1 - Kramers' escape problem with anomalous kinetics
T2 - Non-exponential decay of the survival probability
AU - Metzler, Ralf
AU - Klafter, Joseph
N1 - Funding Information:
The authors acknowledge helpful discussions with I. Rips. Financial assistance from GIF and from the TMR of the EC is acknowledged as well. R.M. was supported through an Amos de Shalit fellowship from the Minerva foundation.
PY - 2000/4/28
Y1 - 2000/4/28
N2 - Systems where multiple trapping or other manifestations of disorder lead to a non-local temporal evolution which results in the macroscopic observation of anomalous kinetics, are shown to exhibit a non-exponential, Mittag-Leffler decay in Kramers-type escape problems. The detailed behaviour of the survival probability is studied, and it is demonstrated that the associated escape rate is time dependent, exhibiting a turnover from a self-similar to a logarithmic pattern. Comparisons to experiment, and to local models are drawn.
AB - Systems where multiple trapping or other manifestations of disorder lead to a non-local temporal evolution which results in the macroscopic observation of anomalous kinetics, are shown to exhibit a non-exponential, Mittag-Leffler decay in Kramers-type escape problems. The detailed behaviour of the survival probability is studied, and it is demonstrated that the associated escape rate is time dependent, exhibiting a turnover from a self-similar to a logarithmic pattern. Comparisons to experiment, and to local models are drawn.
UR - http://www.scopus.com/inward/record.url?scp=0001056254&partnerID=8YFLogxK
U2 - 10.1016/S0009-2614(00)00374-2
DO - 10.1016/S0009-2614(00)00374-2
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AN - SCOPUS:0001056254
SN - 0009-2614
VL - 321
SP - 238
EP - 242
JO - Chemical Physics Letters
JF - Chemical Physics Letters
IS - 3-4
ER -