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

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

2007-11-22

arxiv.org/abs/0711.3621v1

Physics

Mathematical Physics

latexpdf, with 2 pdf figures

Scientific paper

We 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 \nu, or for long times and both high- or infinite-temperature measure and dynamics, the evolved measure \nu^t stays Gibbsian. Furthermore we show that for a low-temperature initial measure \nu, evolving under infinite-temperature dynamics thee is a time interval (t_0, t_1) such that \nu^t fails to be Gibbsian in d=2.

Affiliated with

Also associated with

No associations

Rating

Gibbsianness versus Non-Gibbsianness of time-evolved planar rotor models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gibbsianness versus Non-Gibbsianness of time-evolved planar rotor models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gibbsianness versus Non-Gibbsianness of time-evolved planar rotor models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-311210