Fat, Joni Continuous-time random walk: exact solutions for the probability density function and first two moments. Continuous-time random walk: exact solutions for the probability density function and first two moments.
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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 force- free case, normal diffusive behavior in the long-time limit. Further, the model can describe anomalous behavior at the intermediate times.
| Item Type: | Article |
|---|---|
| Subjects: | Artikel Penelitian > Fakultas Ekonomi |
| Divisions: | Fakultas Teknik > Teknik Elektro |
| Depositing User: | Puskom untar untar |
| Date Deposited: | 30 Aug 2021 10:18 |
| Last Modified: | 30 Aug 2021 10:49 |
| URI: | http://repository.untar.ac.id/id/eprint/32335 |
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