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Transient anomalous diffusion with Prabhakar-type memory

delete2018-07-24
delete15
PRE
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A
A. A. Stanislavsky *
A
Aleksander Weron
DOI:10.1063/1.5042075delete
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摘要

摘要

En 中文
In this paper, we derive the general properties of anomalous diffusion and non-exponential relaxation from the Fokker-Planck equation with the memory function related to the Prabhakar integral operator. The operator is a generalization of the Riemann-Liouville fractional integral and permits one to study transient anomalous diffusion processes with two-scale features. The aim of this work is to find a probabilistic description of the anomalous diffusion from the Fokker-Planck equation, more precisely from the memory function. The temporal behavior of such phenomena exhibits changes in time scaling exponents of the mean-squared displacement through time domain-a more general picture of the anomalous diffusion observed in nature. Published by AIP Publishing.
Keyword:
MITTAG-LEFFLER FUNCTION
TIME RANDOM-WALKS
DIELECTRIC-RELAXATION
WAITING-TIMES
MIXTURES
WATER
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期刊

Journal of Chemical Physics 封面图
Journal of Chemical Physics
IF:
3.1
论文数:
7.2W
被引数:
23.2W

机构

N
national academy of sciences ukraine
学者数:
1.4W
论文数: 9.3K
被引数: 6
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