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arxiv: math-ph/0510022 · v1 · submitted 2005-10-06 · 🧮 math-ph · math.MP

On some remarks on the Ising model with competing interactions on a Cayley tree

classification 🧮 math-ph math.MP
keywords cayleycompetinginteractionsisingmodeltreebinaryconsidered
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In the present paper the Ising model with competing binary $J$ and $J_1$ interactions with spin values $\pm 1$, on a Cayley tree is considered. We study translation-invatiant Gibbs measures and corresponding free energies ones.

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