Anomalous diffusion and Lévy walks in optical lattices

1996 ◽  
Vol 53 (5) ◽  
pp. 3409-3430 ◽  
Author(s):  
S. Marksteiner ◽  
K. Ellinger ◽  
P. Zoller
Keyword(s):  
Anomalous Diffusion ◽  
Optical Lattices ◽  
Lévy Walks

Current flow under anomalous-diffusion conditions: Lévy walks

1990 ◽  
Vol 41 (8) ◽  
pp. 4558-4561 ◽  
Author(s):  
G. Zumofen ◽  
A. Blumen ◽  
J. Klafter
Keyword(s):  
Anomalous Diffusion ◽  
Current Flow ◽  
Lévy Walks

scholarly journals Anomalous Diffusion and Lévy Walks Distinguish Active from Inertial Turbulence

2021 ◽  
Vol 127 (11) ◽  
Author(s):  
Siddhartha Mukherjee ◽  
Rahul K. Singh ◽  
Martin James ◽  
Samriddhi Sankar Ray
Keyword(s):  
Anomalous Diffusion ◽  
Lévy Walks

Transport aspects in anomalous diffusion: Lévy walks

1989 ◽  
Vol 40 (7) ◽  
pp. 3964-3973 ◽  
Author(s):  
A. Blumen ◽  
G. Zumofen ◽  
J. Klafter
Keyword(s):  
Anomalous Diffusion ◽  
Lévy Walks

scholarly journals Scaling forms of particle densities for Lévy walks and strong anomalous diffusion

2015 ◽  
Vol 92 (3) ◽  
Author(s):  
Marco Dentz ◽  
Tanguy Le Borgne ◽  
Daniel R. Lester ◽  
Felipe P. J. de Barros
Keyword(s):  
Anomalous Diffusion ◽  
Lévy Walks

Anomalous diffusion in presence of boundary conditions

1990 ◽  
Vol 51 (13) ◽  
pp. 1387-1402 ◽  
Author(s):  
A. Giacometti ◽  
A. Maritan
Keyword(s):  
Boundary Conditions ◽  
Anomalous Diffusion

Solution of inverse coefficient problem for fractional anomalous diffusion equation

2012 ◽  
Vol 9 (2) ◽  
pp. 65-70
Author(s):  
E.V. Karachurina ◽  
S.Yu. Lukashchuk
Keyword(s):  
Anomalous Diffusion ◽  
Fractional Derivatives ◽  
Descent Method ◽  
Extremum Problem ◽  
Steepest Descent Method ◽  
Coefficient Problem ◽  
Caputo Fractional Derivatives ◽  
Inverse Coefficient Problem ◽  
Residual Functional ◽  
Inverse Coefficient

An inverse coefficient problem is considered for time-fractional anomalous diffusion equations with the Riemann-Liouville and Caputo fractional derivatives. A numerical algorithm is proposed for identification of anomalous diffusivity which is considered as a function of concentration. The algorithm is based on transformation of inverse coefficient problem to extremum problem for the residual functional. The steepest descent method is used for numerical solving of this extremum problem. Necessary expressions for calculating gradient of residual functional are presented. The efficiency of the proposed algorithm is illustrated by several test examples.

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