Propagating fronts in reaction-transport systems with memory

A. Yadav, Sergei Fedotov, Vicenç Méndez, Werner Horsthemke

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    Abstract

    In reaction-transport systems with non-standard diffusion, the memory of the transport causes a coupling of reactions and transport. We investigate the effect of this coupling for systems with Fisher-type kinetics and obtain a general analytical expression for the front speed. We apply our results to the specific case of subdiffusion.

    Original languageEnglish
    Pages (from-to)374-378
    Number of pages5
    JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
    Volume371
    Issue number5-6
    DOIs
    Publication statusPublished - 26 Nov 2007

    Keywords

    • Memory kernel
    • Propagating front
    • Reaction-transport system
    • Subdiffusion

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