Dynamical Gibbs-non-Gibbs Transitions in Curie\tire Weiss Widom\tire Rowlinson Models
2019, v.25, Issue 3
We consider the Curie\tire Weiss Widom\tire Rowlinson model for particles with spins and holes,
with a repulsion strength $\b>0$
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 $\b$ 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: Widom\tire Rowlinson model, Curie\tire Weiss model, mean-field, phase transitions, dynamical Gibbs vs.\ non-Gibbs transitions, dynamical, large deviation principles