Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk
© 2017 Chinese Physical Society and IOP Publishing Ltd. The generalized master equation for the space-time coupled continuous time random walk is derived analytically, in which the space-time coupling is considered through the correlated function g(t) ~ t?, 0 = ? < 2, and the probability dens...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
IOP Publishing Ltd
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/72140 |
| _version_ | 1848762670729134080 |
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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 Chinese Physical Society and IOP Publishing Ltd. The generalized master equation for the space-time coupled continuous time random walk is derived analytically, in which the space-time coupling is considered through the correlated function g(t) ~ t?, 0 = ? < 2, and the probability density function w(t) of a particle's waiting time t follows a power law form for large t: w(t) ~ t-(1+a), 0 < a < 1. The results indicate that the expressions of the generalized master equation are determined by the correlation exponent ? and the long-tailed index a of the waiting time. Moreover, the diffusion results obtained from the generalized master equation are in accordance with the previous known results and the numerical simulation results. |
| first_indexed | 2025-11-14T10:51:16Z |
| format | Journal Article |
| id | curtin-20.500.11937-72140 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:51:16Z |
| publishDate | 2017 |
| publisher | IOP Publishing Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-721402018-12-13T09:32:59Z Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk Liu, Jian Li, B. Chen, X. © 2017 Chinese Physical Society and IOP Publishing Ltd. The generalized master equation for the space-time coupled continuous time random walk is derived analytically, in which the space-time coupling is considered through the correlated function g(t) ~ t?, 0 = ? < 2, and the probability density function w(t) of a particle's waiting time t follows a power law form for large t: w(t) ~ t-(1+a), 0 < a < 1. The results indicate that the expressions of the generalized master equation are determined by the correlation exponent ? and the long-tailed index a of the waiting time. Moreover, the diffusion results obtained from the generalized master equation are in accordance with the previous known results and the numerical simulation results. 2017 Journal Article http://hdl.handle.net/20.500.11937/72140 10.1088/0256-307X/34/5/050201 IOP Publishing Ltd restricted |
| spellingShingle | Liu, Jian Li, B. Chen, X. Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk |
| title | Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk |
| title_full | Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk |
| title_fullStr | Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk |
| title_full_unstemmed | Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk |
| title_short | Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk |
| title_sort | generalized master equation for space-time coupled continuous time random walk |
| url | http://hdl.handle.net/20.500.11937/72140 |