Numerical Investigation of Superslow Diffusion Laws for a Certain Class of Continuous-time Random Walks
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Sumy State University
2016-03-01
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| Series: | Журнал нано- та електронної фізики |
| Subjects: | |
| Online Access: | http://jnep.sumdu.edu.ua/download/numbers/2016/1/articles/jnep_2016_V8_01044.pdf |
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| Summary: | 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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| ISSN: | 2077-6772 |