A class of nonergodic interacting particle systems with unique invariant measure

DOI10.1214/13-AAP987zbMath1304.82014arXiv1208.5433MaRDI QIDQ473173

Benedikt Jahnel, Christof Külske

Publication date: 21 November 2014

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5433

zbMATH Keywords

discretizationGibbs measuresinteracting particle systemsnonergodicitynonequilibriumclock modelXY-model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Curie-Weiss type models for general spin spaces and quadratic pressure in ergodic theory ⋮ Non-robust phase transitions in the generalized clock model on trees ⋮ Attractor properties for irreversible and reversible interacting particle systems ⋮ Coexistence of localized Gibbs measures and delocalized gradient Gibbs measures on trees ⋮ A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit

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