An analyticity bound for two-dimensional Ising model at low temperature

DOI10.1007/BF02183397zbMath1260.82013MaRDI QIDQ1946901

Pierluigi Contucci

Publication date: 10 April 2013

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

zbMATH Keywords

cluster expansionpolymer systems

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• On the uniqueness of the invariant equilibrium state and surface tension
• Cluster expansion for abstract polymer models
• Large deviations for the 2D Ising model: A lower bound without cluster expansions
• On a cluster expansion for lattice spin systems: a finite-size condition for the convergence.
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition