English

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

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

In the present paper the Ising model with competing binary JJ and J1J_1 interactions with spin values ±1\pm 1, on a Cayley tree is considered. We study translation-invatiant Gibbs measures and corresponding free energies ones.

Keywords

Cite

@article{arxiv.math-ph/0510022,
  title  = {On some remarks on the Ising model with competing interactions on a Cayley tree},
  author = {Farrukh Mukhamedov and Utkir Rozikov},
  journal= {arXiv preprint arXiv:math-ph/0510022},
  year   = {2007}
}

Comments

12 pages. submitted

R2 v1 2026-07-22T16:26:47.694Z