Free energy, Gibbs measures, and Glauber dynamics for nearest-neighbor interactions

DOI10.1007/s00220-022-04537-0OpenAlexW4308862540MaRDI QIDQ2687025

Christopher Shriver

Publication date: 1 March 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.00653

zbMATH Keywords

Cayley graphsGlauber dynamicsGibbs measuresGlauber invariant

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) 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) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamical systems involving maps of trees and graphs (37E25) Dynamical aspects of statistical mechanics (37A60)

Related Items (1)

Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor properties

Cites Work

• Gibbs measures and phase transitions.
• The weak limit of Ising models on locally tree-like graphs
• Ising models on locally tree-like graphs
• Some results on Markov processes of infinite lattice spin systems
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• Attractor properties for irreversible and reversible interacting particle systems
• Weak containment in the space of actions of a free group
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• Free energy in a Markovian model of a lattice spin system
• Fuglede-Kadison determinants and sofic entropy
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• ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
• Entropy for expansive algebraic actions of residually finite groups
• Measure conjugacy invariants for actions of countable sofic groups
• Weak containment of measure-preserving group actions
• Beitrag zur Theorie des Ferromagnetismus

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