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    Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions

    Access Status
    Fulltext not available
    Authors
    Liu, Jian
    Zhu, Y.
    He, P.
    Chen, X.
    Bao, J.
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Liu, 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).
    Source Title
    European Physical Journal B
    DOI
    10.1140/epjb/e2017-80060-5
    ISSN
    1434-6028
    School
    WASM: Minerals, Energy and Chemical Engineering (WASM-MECE)
    URI
    http://hdl.handle.net/20.500.11937/72464
    Collection
    • Curtin Research Publications
    Abstract

    © 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.

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