Random walks on a fluctuating lattice: A renormalization group approach applied in one dimension

C. D. Levermore, W. Nadler, D. L. Stein

    Research output: Contribution to journalArticle

    Abstract

    We study the problem of a random walk on a lattice in which bonds connecting nearest-neighbor sites open and close randomly in time, a situation often encountered in fluctuating media. We present a simple renormalization group technique to solve for the effective diffusive behavior at long times. For one-dimensional lattices we obtain better quantitative agreement with simulation data than earlier effective medium results. Our technique works in principle in any dimension, although the amount of computation required rises with the dimensionality of the lattice.

    Original languageEnglish (US)
    Pages (from-to)2779-2786
    Number of pages8
    JournalPhysical Review E
    Volume51
    Issue number4
    DOIs
    StatePublished - 1995

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    random walk
    Renormalization Group
    One Dimension
    Random walk
    data simulation
    Simple group
    Dimensionality
    Nearest Neighbor
    Simulation

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Condensed Matter Physics
    • Statistical and Nonlinear Physics

    Cite this

    Random walks on a fluctuating lattice : A renormalization group approach applied in one dimension. / Levermore, C. D.; Nadler, W.; Stein, D. L.

    In: Physical Review E, Vol. 51, No. 4, 1995, p. 2779-2786.

    Research output: Contribution to journalArticle

    Levermore, C. D. ; Nadler, W. ; Stein, D. L. / Random walks on a fluctuating lattice : A renormalization group approach applied in one dimension. In: Physical Review E. 1995 ; Vol. 51, No. 4. pp. 2779-2786.
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