The p-adic Potts model on the Cayley tree of order three

F. Mukhamedov; H. Akin

doi:10.1007/s11232-013-0105-2

The p-adic Potts model on the Cayley tree of order three

F. Mukhamedov
, H. Akin

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order three. We find certain conditions for the existence of p-adic Gibbs measures and then establish the existence of a phase transition.

Original language	English
Pages (from-to)	1267-1279
Number of pages	13
Journal	Theoretical and Mathematical Physics
Volume	176
Issue number	3
DOIs	https://doi.org/10.1007/s11232-013-0105-2
Publication status	Published - Sept 2013
Externally published	Yes

Keywords

Potts model
p-adic number
p-adic quasi-Gibbs measure
phase transition

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11232-013-0105-2

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abstract = "We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order three. We find certain conditions for the existence of p-adic Gibbs measures and then establish the existence of a phase transition.",

keywords = "Potts model, p-adic number, p-adic quasi-Gibbs measure, phase transition",

author = "F. Mukhamedov and H. Akin",

note = "Funding Information: Acknowledgments. One of the authors (F. M.) thanks the Scientific and Technological Research Council of Turkey (TUBITAK) for the support and Zirve University for the kind hospitality. Funding Information: This work was supported in part (F. M.) by the Ministry of Higher Education of Malaysia (Grant No. ERGS13-024-0057).",

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AU - Akin, H.

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PY - 2013/9

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N2 - We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order three. We find certain conditions for the existence of p-adic Gibbs measures and then establish the existence of a phase transition.

AB - We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order three. We find certain conditions for the existence of p-adic Gibbs measures and then establish the existence of a phase transition.

KW - Potts model

KW - p-adic number

KW - p-adic quasi-Gibbs measure

KW - phase transition

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UR - https://www.scopus.com/pages/publications/84885670150#tab=citedBy

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JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

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ER -

The p-adic Potts model on the Cayley tree of order three

Abstract

Keywords

ASJC Scopus subject areas

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