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

Farrukh Mukhamedov, Utkir Rozikov

Published 2005-10-06Version 1

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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