Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation
© 2017 Elsevier B.V. The space–time coupled continuous time random walk model is a stochastic framework of anomalous diffusion with many applications in physics, geology and biology. In this manuscript the time averaged mean squared displacement and nonergodic property of a space–time coupled contin...
| Main Authors: | , , |
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| Format: | Journal Article |
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Elsevier BV * North-Holland
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/73503 |
| _version_ | 1848763032345247744 |
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| author | Liu, Jian Li, B. Chen, X. |
| author_facet | Liu, Jian Li, B. Chen, X. |
| author_sort | Liu, Jian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2017 Elsevier B.V. The space–time coupled continuous time random walk model is a stochastic framework of anomalous diffusion with many applications in physics, geology and biology. In this manuscript the time averaged mean squared displacement and nonergodic property of a space–time coupled continuous time random walk model is studied, which is a prototype of the coupled continuous time random walk presented and researched intensively with various methods. The results in the present manuscript show that the time averaged mean squared displacements increase linearly with lag time which means ergodicity breaking occurs, besides, we find that the diffusion coefficient is intrinsically random which shows both aging and enhancement, the analysis indicates that the either aging or enhancement phenomena are determined by the competition between the correlation exponent ? and the waiting time's long-tailed index a. |
| first_indexed | 2025-11-14T10:57:01Z |
| format | Journal Article |
| id | curtin-20.500.11937-73503 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:57:01Z |
| publishDate | 2018 |
| publisher | Elsevier BV * North-Holland |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-735032018-12-13T09:35:31Z Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation Liu, Jian Li, B. Chen, X. © 2017 Elsevier B.V. The space–time coupled continuous time random walk model is a stochastic framework of anomalous diffusion with many applications in physics, geology and biology. In this manuscript the time averaged mean squared displacement and nonergodic property of a space–time coupled continuous time random walk model is studied, which is a prototype of the coupled continuous time random walk presented and researched intensively with various methods. The results in the present manuscript show that the time averaged mean squared displacements increase linearly with lag time which means ergodicity breaking occurs, besides, we find that the diffusion coefficient is intrinsically random which shows both aging and enhancement, the analysis indicates that the either aging or enhancement phenomena are determined by the competition between the correlation exponent ? and the waiting time's long-tailed index a. 2018 Journal Article http://hdl.handle.net/20.500.11937/73503 10.1016/j.physa.2017.09.100 Elsevier BV * North-Holland restricted |
| spellingShingle | Liu, Jian Li, B. Chen, X. Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation |
| title | Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation |
| title_full | Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation |
| title_fullStr | Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation |
| title_full_unstemmed | Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation |
| title_short | Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation |
| title_sort | nonergodic property of the space–time coupled ctrw: dependence on the long-tailed property and correlation |
| url | http://hdl.handle.net/20.500.11937/73503 |