Loss and recovery of Gibbsianness for XY models in external fields

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

doi:10.1063/1.2989145

Loss and recovery of Gibbsianness for XY models in external fields

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

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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 language	English
Pages (from-to)	125208-1/8
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	49
Issue number	12
DOIs	https://doi.org/10.1063/1.2989145
Publication status	Published - 2008

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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.",

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AB - 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.

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DO - 10.1063/1.2989145

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JF - Journal of Mathematical Physics

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Loss and recovery of Gibbsianness for XY models in external fields

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