Refine
Has Fulltext
- no (1)
Year of publication
- 2016 (1) (remove)
Document Type
- Article (1)
Language
- English (1)
Is part of the Bibliography
- yes (1)
Keywords
- anomalous diffusion (1) (remove)
Institute
We consider a generalized diffusion equation in two dimensions for modeling diffusion on a comb-like structures. We analyze the probability distribution functions and we derive the mean squared displacement in x and y directions. Different forms of the memory kernels (Dirac delta, power-law, and distributed order) are considered. It is shown that anomalous diffusion may occur along both x and y directions. Ultraslow diffusion and some more general diffusive processes are observed as well. We give the corresponding continuous time random walk model for the considered two dimensional diffusion-like equation on a comb, and we derive the probability distribution functions which subordinate the process governed by this equation to the Wiener process.