Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk
dc.contributor.author | Liu, Jian | |
dc.contributor.author | Li, B. | |
dc.contributor.author | Chen, X. | |
dc.date.accessioned | 2018-12-13T09:12:26Z | |
dc.date.available | 2018-12-13T09:12:26Z | |
dc.date.created | 2018-12-12T02:46:48Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Liu, J. and Li, B. and Chen, X. 2017. Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk. Chinese Physics Letters. 34 (5). | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/72140 | |
dc.identifier.doi | 10.1088/0256-307X/34/5/050201 | |
dc.description.abstract |
© 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. | |
dc.publisher | IOP Publishing Ltd | |
dc.title | Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk | |
dc.type | Journal Article | |
dcterms.source.volume | 34 | |
dcterms.source.number | 5 | |
dcterms.source.issn | 0256-307X | |
dcterms.source.title | Chinese Physics Letters | |
curtin.department | WASM: Minerals, Energy and Chemical Engineering (WASM-MECE) | |
curtin.accessStatus | Fulltext not available |
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