Loss and recovery of Gibbsianness for XY models in external fields

Enter, A. C. D. V. & Ruszel, W. M., Dec-2008, In : Journal of Mathematical Physics. 49, 12, 8 p., 125208.

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  • A.C.D. van Enter
  • W.M. Ruszel

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
Article number125208
Number of pages8
JournalJournal of Mathematical Physics
Issue number12
Publication statusPublished - Dec-2008


  • diffusion, Ising model, stochastic processes, X-Y model, CLASSICAL SPIN SYSTEMS, GIBBS MEASURES, DIFFUSION

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