Rangarajana, Govindan ; Ding, Mingzhou (2000) First passage time distribution for anomalous diffusion Physics Letters A, 273 (5-6). pp. 322-330. ISSN 0375-9601
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/S0375-9601(00)00518-1
Abstract
We study the first passage time (FPT) problem in Levy type of anomalous diffusion. Using the recently formulated fractional Fokker-Planck equation, we obtain an analytic expression for the FPT distribution which, in the large passage time limit, is characterized by a universal power law. Contrasting this power law with the asymptotic FPT distribution from another type of anomalous diffusion exemplified by the fractional Brownian motion, we show that the two types of anomalous diffusions give rise to two distinct scaling behavior.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 73204 |
| Deposited On: | 02 Dec 2011 09:46 |
| Last Modified: | 02 Dec 2011 09:46 |
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