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

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

2005-10-06

arxiv.org/abs/math-ph/0510022v1

Physics

Mathematical Physics

12 pages. submitted

Scientific paper

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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