O‘zbekiston matematika jurnali Volume 70 Issue 1 (2026)

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

Samijonova, N.

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Abstract

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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Cite

APA 7 
Samijonova, N. (2026). Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field. O‘zbekiston matematika jurnali, 70(1).
GOST R 7.0.5 
Samijonova, N. Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field // O‘zbekiston matematika jurnali. 2026. Т. 70. № 1.
BibTeX 
@article{n.2026,
  author  = {Samijonova, N.},
  title   = {Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {1}
}
RIS 
TY  - JOUR
AU  - Samijonova, N.
TI  - Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 1
ER  -