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math-ph2006★ 31 cited
On the three state Potts model with competing interactions on the Bethe lattice
Nasir Ganikhodjaev, Farrukh Mukhamedov, Jose F. F. Mendes
In the present paper the three state Potts model with competing binary interactions (with couplings and ) on the second order Bethe lattice is considered. The recurrent eq…
math-ph2005
On Phase Transitions for -Adic Potts Model with Competing Interactions on a Cayley Tree
Farrukh Mukhamedov, Utkir Rozikov, Jose Fernando F. Mendes
In the paper we considere three state -adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the -adic Gibbs measur…