Transient anomalous diffusion with Prabhakar-type memory.
J Chem Phys
; 149(4): 044107, 2018 Jul 28.
Article
in En
| MEDLINE
| ID: mdl-30068155
ABSTRACT
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.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
J Chem Phys
Year:
2018
Document type:
Article
Affiliation country:
Ukraine