Random walks on random partitions in one dimension

Walter Nadler, Tsongjy Huang, D. L. Stein

    Research output: Contribution to journalArticle

    Abstract

    Random walks on state space partitions provide an abstract generic picture for the description of macroscopic fluctuations in heterogeneous systems such as proteins. We determine the average residence probability and the average distribution of residence times in a particular macroscopic state for the ensemble of random partitions of a one-dimensional state space. In particular, the probability that a walker remains in an open-state cluster decays in a manner that is slower than exponential but faster than a power law.

    Original languageEnglish (US)
    Pages (from-to)4037-4047
    Number of pages11
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume54
    Issue number4
    DOIs
    StatePublished - 1996

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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