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dc.contributor.authorLiu, Jian
dc.contributor.authorZhu, Y.
dc.contributor.authorHe, P.
dc.contributor.authorChen, X.
dc.contributor.authorBao, J.
dc.identifier.citationLiu, J. and Zhu, Y. and He, P. and Chen, X. and Bao, J. 2017. Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions. European Physical Journal B. 90 (4).

© 2017, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. Anomalous diffusion is researched within the framework of the coupled continuous time random walk model, in which the space-time coupling is considered through the correlated function g(t) ~ t?, 0 = ?< 2, and the probability density function ?(t) of a particle’s transition time t follows a power law for large t: ?(t) ~ t- (1 + a),1 <a< 2. The bi-fractional generalized master equation is derived analytically which can be applied to describe the transient bi-fractional diffusion phenomenon which is induced by the space-time coupling and the asymptotic behavior of ?(t). Numerical results show that for the transient bi-fractional diffusion, there is a transition from one fractional diffusion to another one in the diffusive process.

dc.titleTransient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions
dc.typeJournal Article
dcterms.source.titleEuropean Physical Journal B
curtin.departmentWASM: Minerals, Energy and Chemical Engineering (WASM-MECE)
curtin.accessStatusFulltext not available

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