A model with simultaneous first and second order phase transitions

DOI10.1007/S10955-005-8071-1zbMath1127.82021arXivcond-mat/0501229OpenAlexW3105491536MaRDI QIDQ2492853

Bruno Nachtergaele, Alain Messager

Publication date: 14 June 2006

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0501229

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Forbidden gap argument for phase transitions proved by means of chessboard estimates

Cites Work

• Order by disorder, without order, in a two-dimensional spin system with \(O(2)\) symmetry
• On the slow decay of \(O(2)\) correlations in the absence of topological excitations: Remark on the Patrascioiu-Seiler model
• Provable first-order transitions for nonlinear vector and gauge models with continuous sym\-metries

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