Physics – Mathematical Physics
Scientific paper
2008-08-29
Physics
Mathematical Physics
14 pages, 2 figures
Scientific paper
10.1063/1.2989145
We consider planar rotors (XY spins) in $\mathbb{Z}^d$, 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.
Ruszel W. M.
van Enter Aernout C. D.
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