Loss and recovery of Gibbsianness for XY models in external fields

A.C.D. Enter, van, W.M. Ruszel

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    8 Citations (Scopus)
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    Abstract

    We consider planar rotors (XY spins) in Z^d, starting from an initial Gibbs measure and evolving with infinite-temperature stochastic (diffusive) dynamics. At intermediate times, if the system starts at low temperature, Gibbsianness can be lost. Due to the influence of the external initial field, Gibbsianness can be recovered after large finite times. We prove some results supporting this picture.
    Original languageEnglish
    Pages (from-to)125208-1/8
    Number of pages8
    JournalJournal of Mathematical Physics
    Volume49
    Issue number12
    DOIs
    Publication statusPublished - 2008

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