In the present paper, we study $G_2$-periodic $p$-adic quasi Gibbs measures for the $p$-adic Potts model with an external field on a Cayley tree of order two. We find $G_2$-periodic (non-translation-invariant) $p$-adic quasi Gibbs measures. Moreover, for the corresponding model, we show that if $|q(q-1)|_p=1$, $\sqrt{1-q}\in \mathbb Q_p$ then a phase transition occurs; If $|q|_p
| Mualliflar | Samijonova, N. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| DOI | 10.29229/uzmj.2026-1-21 |
DOI: 10.29229/uzmj.2026-1-21 · Maqolaning asl sahifasi
$p$-adic numbers, Potts model, external field, $p$-adic quasi Gibbs measure, phase transition, quasi phase transition
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