Gibbsianness versus Non-Gibbsianness of time-evolved planar rotor models

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dc.creatorvan Enter, A. C. D.
dc.creatorRuszel, W. M.
dc.date2007-11-22
dc.date.accessioned2026-07-07T08:44:35Z
dc.date.available2026-07-07T08:44:35Z
dc.descriptionWe study the Gibbsian character of time-evolved planar rotor systems on Z^d, d at least 2, in the transient regime, evolving with stochastic dynamics and starting with an initial Gibbs measure. We model the system by interacting Brownian diffusions, moving on circles. We prove that for small times and arbitrary initial Gibbs measures ν, or for long times and both high- or infinite-temperature measure and dynamics, the evolved measure ν^t stays Gibbsian. Furthermore we show that for a low-temperature initial measure ν, evolving under infinite-temperature dynamics thee is a time interval (t_0, t_1) such that ν^t fails to be Gibbsian in d=2.
dc.descriptionlatexpdf, with 2 pdf figures
dc.identifierhttps://arxiv.org/abs/0711.3621
dc.identifierhttp://arxiv.org/abs/0711.3621
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142710
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82c20
dc.titleGibbsianness versus Non-Gibbsianness of time-evolved planar rotor models
dc.typetext

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