Numerical Investigation of Superslow Diffusion Laws for a Certain Class of Continuous-time Random Walks
| Authors | Yu.S. Bystrik |
| Affiliations | Sumy State University, 2, Rimsky Korsakov St., 40007 Sumy, Ukraine |
| Е-mail | yurabystrik@gmail.com |
| Issue | Volume 8, Year 2016, Number 1 |
| Dates | Received 15 January 2016; published online 20 March 2016 |
| Citation | Yu.S. Bystrik, J. Nano- Electron. Phys. 8 No 1, 01044 (2016) |
| DOI | 10.21272/jnep.8(1).01044 |
| PACS Number(s) | 05.40.Fb, 02.50.Ey |
| Keywords | Anomalous diffusion, Continuous-time random walks, Superheavy-tailed probability densities. |
| Annotation | Using the continuous-time random walk theory we investigate the phenomenon of anomalous superslow diffusion for which the variance of the particle position increases slowly than any positive power of time. This type of diffusion emerges in the case when the probability densities of the waiting times between the successive jumps characterized by the superheavy tails with infinite moments of any fractional order. We propose a numerical method to study the behavior of the diffusion laws and show that our numerical results are in very good agreement with the theoretical predictions. |
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List of References English version of article |
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