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    Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation

    Access Status
    Fulltext not available
    Authors
    Liu, Jian
    Li, B.
    Chen, X.
    Date
    2018
    Type
    Journal Article
    
    Metadata
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    Citation
    Liu, J. and Li, B. and Chen, X. 2018. Nonergodic property of the space–time coupled CTRW: Dependence on the long-tailed property and correlation. Physica A: Statistical Mechanics and Its Applications. 491: pp. 995-1000.
    Source Title
    Physica A: Statistical Mechanics and Its Applications
    DOI
    10.1016/j.physa.2017.09.100
    ISSN
    0378-4371
    School
    WASM: Minerals, Energy and Chemical Engineering (WASM-MECE)
    URI
    http://hdl.handle.net/20.500.11937/73503
    Collection
    • Curtin Research Publications
    Abstract

    © 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.

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