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

2019/01/29 by Christof Kuelske, Kuelske, Christof · 1 citation
Mathematics · Physics and Astronomy · #60K57 (Primary) 82B24 #82B44 (Secondary) #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1901.10347

openalex publication_date 2019/01/29 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Dynamical Gibbs-non-Gibbs transitions in Curie-Weiss Widom-Rowlinson models
• High-density hard-core model on triangular and hexagonal lattices
• Attractor properties for irreversible and reversible interacting\n particle systems

Cited by

• Phase transitions for the Widom--Rowlinson model in random environments

Related

• Dynamical Gibbs-non-Gibbs transitions in Curie-Weiss Widom-Rowlinson models
• The Widom-Rowlinson model under spin flip: Immediate loss and sharp recovery of quasilocality
• Phase transitions for the Widom--Rowlinson model in random environments
• Sharp phase transition for the continuum Widom-Rowlinson model
• Gibbs-non-Gibbs properties for n-vector lattice and mean-field models