On Inhomogeneous $p$-Adic Potts Model on a Cayley Tree
Mukhamedov, Farrukh ; Rozikov, Utkir
arXiv, 0510024 / Harvested from arXiv
Text on arXiv
We consider a nearest-neighbor inhomogeneous $p$-adic Potts (with $q\geq 2$ spin values) model on the Cayley tree of order $k\geq 1$. The inhomogeneity means that the interaction $J_{xy}$ couplings depend on nearest-neighbors points $x, y $ of the Cayley tree. We study ($p-$ adic) Gibbs measures of the model. We show that (i) if $q\notin p\mathbb{N}$ then there is unique Gibbs measure for any $k\geq 1$ and $\forall J_{xy}$ with $|J_{xy}|
Publié le : 2005-10-06
Classification:  Mathematical Physics,  46S10, 82B26, 12J12 
@article{0510024,
     author = {Mukhamedov, Farrukh and Rozikov, Utkir},
     title = {On Inhomogeneous $p$-Adic Potts Model on a Cayley Tree},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510024}
}

Mukhamedov, Farrukh; Rozikov, Utkir. On Inhomogeneous $p$-Adic Potts Model on a Cayley Tree. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510024/