First-order transitions in one-dimensional systems with local couplings

DOI10.1007/BF01053741zbMath0935.82518OpenAlexW1964330796WikidataQ62561034 ScholiaQ62561034MaRDI QIDQ1279295

Manuel Asorey, José G. Esteve

Publication date: 22 May 2000

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

Full work available at URL: https://doi.org/10.1007/bf01053741

zbMATH Keywords

phase transitionsreflection positivityclock models

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items

Classical phase transitions in a one-dimensional short-range spin model ⋮ One-dimensional chiral models with first-order phase transitions ⋮ Spanning forests and the \(q\)-state Potts model in the limit \(q \to 0\) ⋮ Low-temperature series for renormalized operators: The ferromagnetic square-lattice Ising model.

Cites Work

• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Gibbs measures and phase transitions
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Statistical mechanics of a one-dimensional lattice gas
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
• Regularity properties and pathologies of position-space renormalization-group transformations