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Inequalities and many phase transitions in ferro-magnetic systems

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Publication:1113224
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DOI10.1007/BF01218626zbMath0661.60127MaRDI QIDQ1113224

Roberto Fernández, Joseph Slawny

Publication date: 1989

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


zbMATH Keywords

perturbationsferromagnetic interactionsferromagnetic systems with many phase transitionsuniqueness of the Gibbs state


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Stochastic mechanics (including stochastic electrodynamics) (81P20)


Related Items (3)

Mixing length scales of low temperature spin plaquettes models ⋮ Statistical mechanics of probabilistic cellular automata. ⋮ Infinite DLR measures and volume-type phase transitions on countable Markov shifts



Cites Work

  • First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory
  • Existence of a Phase Transition in Two-Dimensional and Three-Dimensional Ising Models
  • On Ising's model of ferromagnetism
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