Equilibrium States of the Ising Model in the Two-Phase Region | Zendy

Giovanni Gallavotti | Zendy; Salvador Miracle-Solé | Zendy

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Equilibrium States of the Ising Model in the Two-Phase Region

Author(s) -

Giovanni Gallavotti,

Salvador Miracle-Solé

Publication year - 1972

Publication title -

physical review. b, solid state

Language(s) - English

Resource type - Journals

ISSN - 0556-2805

DOI - 10.1103/physrevb.5.2555

Subject(s) - ising model , ferromagnetism , magnetization , condensed matter physics , physics , superposition principle , invariant (physics) , phase (matter) , spontaneous magnetization , beta (programming language) , mathematical physics , quantum mechanics , magnetic field , computer science , programming language

We prove that at low enough temperature all translationally invariantequilibrium states for the Ising ferromagnet are a superposition of onlytwo extremal states, i.e., the positively and negatively magnetized purephases. In particular this proves, at low temperature and in twodimensions, the identity of the spontaneous magnetization and the Onsager'svalue $M_0=(1-\sinh\b)^{\frac18}$

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