scholarly journals Infiltration experiments demonstrate an explicit connection between heterogeneity and anomalous diffusion behavior

2016 ◽  
Vol 52 (7) ◽  
pp. 5167-5178 ◽  
Author(s):  
N. Filipovitch ◽  
K. M. Hill ◽  
A. Longjas ◽  
V. R. Voller
2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Denner S. Vieira ◽  
Jesus M. E. Riveros ◽  
Max Jauregui ◽  
Renio S. Mendes

2017 ◽  
Vol 19 (15) ◽  
pp. 10036-10041 ◽  
Author(s):  
Chen Ling ◽  
Ruigang Zhang

We report an anomalous diffusion behavior in intercalated Na2Ti6O13.


2017 ◽  
Vol 21 (1 Part A) ◽  
pp. 51-59 ◽  
Author(s):  
Xiaoting Liu ◽  
Hong-Guang Sun ◽  
Mihailo Lazarevic ◽  
Zhuojia Fu

This paper pays attention to develop a variable-order fractal derivative model for anomalous diffusion. Previous investigations have indicated that the medium structure, fractal dimension or porosity may change with time or space during solute transport processes, results in time or spatial dependent anomalous diffusion phenomena. Hereby, this study makes an attempt to introduce a variable-order fractal derivative diffusion model, in which the index of fractal derivative depends on temporal moment or spatial position, to characterize the above mentioned anomalous diffusion (or transport) processes. Compared with other models, the main advantages in description and the physical explanation of new model are explored by numerical simulation. Further discussions on the dissimilitude such as computational efficiency, diffusion behavior and heavy tail phenomena of the new model and variable-order fractional derivative model are also offered.


1982 ◽  
Vol 41 (11) ◽  
pp. 1068-1070 ◽  
Author(s):  
M. B. Small ◽  
R. M. Potemski ◽  
W. Reuter ◽  
R. Ghez

1990 ◽  
Vol 51 (13) ◽  
pp. 1387-1402 ◽  
Author(s):  
A. Giacometti ◽  
A. Maritan

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