Dynamical continuous time random walk
© 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. We consider a continuous time random walk model in which each jump is considered to be dynamical process. Dissipative launch velocity and hopping time in each jump is the key factor in this model. Within the model, normal diffusion and an...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Springer
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/72812 |
| _version_ | 1848762848397754368 |
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| author | Liu, Jian Yang, B. Chen, X. Bao, J. |
| author_facet | Liu, Jian Yang, B. Chen, X. Bao, J. |
| author_sort | Liu, Jian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. We consider a continuous time random walk model in which each jump is considered to be dynamical process. Dissipative launch velocity and hopping time in each jump is the key factor in this model. Within the model, normal diffusion and anomalous diffusion is realized theoretically and numerically in the force free potential. Besides, external potential can be introduced naturally, so the random walker’s behavior in the linear potential and quartic potential is discussed, especially the walker with Lévy velocity in the quartic potential, bimodal behavior of the spatial distribution is observed, it is shown that due to the inertial effect induced by damping term, there exists transition from unimodality to bimodality for the walker’s spatial stationary distribution. |
| first_indexed | 2025-11-14T10:54:05Z |
| format | Journal Article |
| id | curtin-20.500.11937-72812 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:54:05Z |
| publishDate | 2015 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-728122018-12-13T09:33:39Z Dynamical continuous time random walk Liu, Jian Yang, B. Chen, X. Bao, J. © 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. We consider a continuous time random walk model in which each jump is considered to be dynamical process. Dissipative launch velocity and hopping time in each jump is the key factor in this model. Within the model, normal diffusion and anomalous diffusion is realized theoretically and numerically in the force free potential. Besides, external potential can be introduced naturally, so the random walker’s behavior in the linear potential and quartic potential is discussed, especially the walker with Lévy velocity in the quartic potential, bimodal behavior of the spatial distribution is observed, it is shown that due to the inertial effect induced by damping term, there exists transition from unimodality to bimodality for the walker’s spatial stationary distribution. 2015 Journal Article http://hdl.handle.net/20.500.11937/72812 10.1140/epjb/e2015-60056-y Springer restricted |
| spellingShingle | Liu, Jian Yang, B. Chen, X. Bao, J. Dynamical continuous time random walk |
| title | Dynamical continuous time random walk |
| title_full | Dynamical continuous time random walk |
| title_fullStr | Dynamical continuous time random walk |
| title_full_unstemmed | Dynamical continuous time random walk |
| title_short | Dynamical continuous time random walk |
| title_sort | dynamical continuous time random walk |
| url | http://hdl.handle.net/20.500.11937/72812 |