O‘zbekiston matematika jurnali 70-том 1-сан (2026)

Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field

Samijonova, N.

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Аннотация

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

$p$-adic numbersPotts modelexternal field$p$-adic quasi Gibbs measurephase transitionquasi phase transition

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