Dynamics on ultrametric spaces

Andrew T. Ogielski, D. L. Stein

    Research output: Contribution to journalArticlepeer-review


    We present an exact solution to the problem of a random walk on an ultrametric space with arbitrary transition probabilities. The solution provides a description of fluctuation dynamics of systems with many degenerate states separated by a hierarchy of energy barriers. Dynamical behavior is found to depend on the scaling of barriers with ultrametric distance. We find a range of interesting behavior, from temperature-dependent power-law decay to the Kohlrausch law.

    Original languageEnglish (US)
    Pages (from-to)1634-1637
    Number of pages4
    JournalPhysical Review Letters
    Issue number15
    StatePublished - 1985

    ASJC Scopus subject areas

    • General Physics and Astronomy


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