Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction

DOI10.1016/j.spa.2016.03.005zbMath1351.82020arXiv1410.3924OpenAlexW2296965389MaRDI QIDQ311979

Christopher Henderson, Georg Menz

Publication date: 13 September 2016

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3924

zbMATH Keywords

phase transitionlong-range interactionsPoincaré inequalityGibbs measurespin systemsdecay of correlations\(\log\)-Sobolev inequality

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Statistical mechanics of ferroelectrics (82D45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Logarithmic Schrödinger equations in infinite dimensions, Hydrodynamic limit of the Kawasaki dynamics on the 1d-lattice with strong, finite-range interaction, Strict convexity of the free energy of the canonical ensemble under decay of correlations, Uniform LSI for the canonical ensemble on the 1D-lattice with strong, finite-range interaction, Decay of correlations and uniqueness of the Infinite-Volume Gibbs measure of the Canonical ensemble of 1d-lattice systems

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