F. Mukhamedov

activity

20052008

most citedPhase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice

38 citations · 131 across the 13 of their papers we have counts for

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5 papers · 1 filter

math-ph2011

On phase transition for one dimensional countable state $P$ -adic Potts model

Farrukh Mukhamedov

In the present paper we shall consider countable state $p$ -adic Potts model on $Z_{+}$ . A main aim is to establish the existence of the phase transition for the model. In our study,…

math-ph2010

On dynamical systems and phase transitions for $Q + 1$ -state $P$ -adic Potts model on the Cayley tree

Farrukh Mukhamedov

In the present paper, we introduce a new kind of $p$ -adic measures for $q + 1$ -state Potts model, called {\it $p$ -adic quasi Gibbs measure}. For such a model, we derive a recursive r…

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 $J$ and $J_{p}$ ) on the second order Bethe lattice is considered. The recurrent eq…

math-ph2005

On Phase Transitions for $P$ -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 $p$ -adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the $p$ -adic Gibbs measur…

math-ph2005

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

Farrukh Mukhamedov, Utkir Rozikov

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…

On phase transition for one dimensional countable state P-adic Potts model

On dynamical systems and phase transitions for Q+1-state P-adic Potts model on the Cayley tree

On the three state Potts model with competing interactions on the Bethe lattice

On Phase Transitions for P-Adic Potts Model with Competing Interactions on a Cayley Tree

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

On phase transition for one dimensional countable state $P$ -adic Potts model

On dynamical systems and phase transitions for $Q + 1$ -state $P$ -adic Potts model on the Cayley tree

On Phase Transitions for $P$ -Adic Potts Model with Competing Interactions on a Cayley Tree