Dynamical Gibbs-non-Gibbs transitions in Curie-Weiss Widom-Rowlinson models
Probability
2018-10-01 v1
Abstract
We consider the Curie-Weiss Widom-Rowlinson model for particles with spins and holes, with a repulsion strength beta between particles of opposite spins. We provide a closed solution of the model, and investigate dynamical Gibbs-non-Gibbs transitions for the time-evolved model under independent stochastic symmetric spin-flip dynamics. We show that, for sufficiently large beta after a transition time, continuously many bad empirical measures appear. These lie on (unions of) curves on the simplex whose time-evolution we describe.
Keywords
Cite
@article{arxiv.1809.11014,
title = {Dynamical Gibbs-non-Gibbs transitions in Curie-Weiss Widom-Rowlinson models},
author = {Sascha Kissel and Christof Kuelske},
journal= {arXiv preprint arXiv:1809.11014},
year = {2018}
}
Comments
25 pages, 7 figures