Loss and Recovery of Gibbsianness for XY models in external fields

Autor:	van Enter, A. C. D., Ruszel, W. M.
Rok vydání:	2008
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1063/1.2989145
Popis:	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. Comment: 14 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0808.4092 Zobrazit plný text záznamu View this record from Arxiv