- Treffer 1 von 1
Comb Model with Slow and Ultraslow Diffusion
- 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.
| Verfasserangaben: | T. Sandev, Alexander IominORCiD, Holger KantzORCiD, Ralf MetzlerORCiDGND, Aleksei V. ChechkinORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1051/mmnp/201611302 |
| ISSN: | 0973-5348 |
| ISSN: | 1760-6101 |
| Titel des übergeordneten Werks (Englisch): | Mathematical modelling of natural phenomena |
| Verlag: | EDP Sciences |
| Verlagsort: | Les Ulis |
| Publikationstyp: | Wissenschaftlicher Artikel |
| Sprache: | Englisch |
| Jahr der Erstveröffentlichung: | 2016 |
| Erscheinungsjahr: | 2016 |
| Datum der Freischaltung: | 22.03.2020 |
| Freies Schlagwort / Tag: | anomalous diffusion; comb-like model; mean squared displacement; probability density function |
| Band: | 11 |
| Seitenanzahl: | 16 |
| Erste Seite: | 18 |
| Letzte Seite: | 33 |
| Fördernde Institution: | Israel Science Foundation [ISF-1028]; Academy of Finland within the Finland Distinguished Professor programme |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer Review: | Referiert |
