Loss and recovery of Gibbsianness for X Y models in external fields

We consider planar rotors ( X Y 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,...

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Bibliographic Details
Published in:Journal of mathematical physics 2008-12, Vol.49 (12), p.125208-125208-8
Main Authors: van Enter, A. C. D., Ruszel, W. M.
Format: Article
Language:English
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Summary:We consider planar rotors ( X Y 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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2989145