Sau Fa, Kwok and Fat, Joni (2011) Continuous time random walk: Exact solutions. Physica Scripta.
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Abstract
We consider decoupled continuous time random walk model with finite characteristic waiting time and approximate jump length variance. We take the waiting time probability distribution given by a combination of exponential and Mittag-Leffler function. Using this waiting time probability distribution we investigate diffusion behaviors for all the time. We obtain exact solutions for the first two moments and probability distribution for force-free and linear force cases. Due to the finite characteristic waiting time and jump length variance the model presents, for the forcefree case, normal diffusive behavior in the long-time limit. Further, the model can describe anomalous behavior at the intermediate times.
| Item Type: | Article |
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| Subjects: | Penelitian > Fakultas Teknik |
| Divisions: | Fakultas Teknik > Teknik Elektro |
| Depositing User: | Puskom untar untar |
| Date Deposited: | 13 Mar 2018 06:55 |
| Last Modified: | 13 Mar 2018 06:55 |
| URI: | http://repository.untar.ac.id/id/eprint/1768 |
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