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 |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-1-21 |
| Indeksga qo‘shilgan | 2026-08-26 |
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
| APA | Samijonova, N. (2026). Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field. O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-21 |
|---|---|
| GOST (OAK) | Samijonova, N. Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 1. – DOI: 10.29229/uzmj.2026-1-21. |
| MLA | Samijonova, N. “Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field.” O‘zbekiston matematika jurnali, 70(1), 2026. https://doi.org/10.29229/uzmj.2026-1-21 |
| Chicago | Samijonova, N. “Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field.” O‘zbekiston matematika jurnali, 70(1) (2026). https://doi.org/10.29229/uzmj.2026-1-21 |
| Harvard | Samijonova, N (2026) ‘Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field’, O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-21 |
| BibTeX | @article{samijonovan2026,
title = {Periodic quasi Gibbs measures for the $p$-adic Potts model with an external field},
author = {Samijonova, N.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {1},
doi = {10.29229/uzmj.2026-1-21},
url = {https://doi.org/10.29229/uzmj.2026-1-21}
} |
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