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    All-time dynamics of continuous-time random walks on complex networks

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    Author
    Teimouri, Hamid
    Kolomeisky, Anatoly B.
    Date
    2013
    Citation
    Teimouri, Hamid and Kolomeisky, Anatoly B.. "All-time dynamics of continuous-time random walks on complex networks." The Journal of Chemical Physics, 138, (2013) 84110. http://dx.doi.org/10.1063/1.4792726.
    Published Version
    http://dx.doi.org/10.1063/1.4792726
    Abstract
    The concept of continuous-time random walks (CTRW) is a generalization of ordinary random walk models, and it is a powerful tool for investigating a broad spectrum of phenomena in natural, engineering, social, and economic sciences. Recently, several theoretical approaches have been developed that allowed to analyze explicitly dynamics of CTRW at all times, which is critically important for understanding mechanisms of underlying phenomena. However, theoretical analysis has been done mostly for systems with a simple geometry. Here we extend the original method based on generalized master equations to analyze all-time dynamics of CTRWmodels on complex networks. Specific calculations are performed for models on lattices with branches and for models on coupled parallelchain lattices. Exact expressions for velocities and dispersions are obtained. Generalized fluctuations theorems for CTRW models on complex networks are discussed.
    Type
    Journal article
    Citable link to this page
    http://hdl.handle.net/1911/71019
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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892