Curie-Weiss type models for general spin spaces and quadratic pressure in ergodic theory

DOI10.1007/s10955-020-02579-zzbMath1452.37009OpenAlexW3042799465WikidataQ114225345 ScholiaQ114225345MaRDI QIDQ2202303

Renaud Leplaideur, Frédérique Watbled

Publication date: 18 September 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-020-02579-z

zbMATH Keywords

entropypressurephase transitionthermodynamic formalismGibbs measureequilibrium statestransfer operatorCurie-Weiss modelCurie-Weiss-Potts modelspin spacesdynamical Gibbs measuresmean-field \(XY\) modelprobabilistic Gibbs measures

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Statistical thermodynamics (82B30) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamical aspects of statistical mechanics (37A60)

Related Items (4)

Higher-dimensional nonlinear thermodynamic formalism ⋮ Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with Markovian structure ⋮ Nonlinear thermodynamical formalism ⋮ Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with Markovian structure

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