English

Gibbs-non Gibbs transitions in different geometries: The Widom-Rowlinson model under stochastic spin-flip dynamics

Probability 2019-02-14 v2

Abstract

The Widom-Rowlinson model is an equilibrium model for point particles in Euclidean space. It has a repulsive interaction between particles of different colors, and shows a phase-transition at high intensity. Natural versions of the model can moreover be formulated in different geometries: in particular as a lattice system or a mean-field system. We will discuss recent results on dynamical Gibbs-non Gibbs transitions in this context. Main issues will be the possibility or impossibility of an immediate loss of the Gibbs property, and of full-measure discontinuities of the time-evolved models.

Keywords

Cite

@article{arxiv.1901.10347,
  title  = {Gibbs-non Gibbs transitions in different geometries: The Widom-Rowlinson model under stochastic spin-flip dynamics},
  author = {Christof Kuelske},
  journal= {arXiv preprint arXiv:1901.10347},
  year   = {2019}
}

Comments

14 pages, 13 figures, Contribution for "Statistical Mechanics of Classical and Disordered Systems"