Existence of a phase transition for the Potts p-adic model on the set ℤ

N. N. Ganikhodzhaev; F. M. Mukhamedov; U. A. Rozikov

doi:10.1023/A:1014723108030

Existence of a phase transition for the Potts p-adic model on the set ℤ

N. N. Ganikhodzhaev, F. M. Mukhamedov, U. A. Rozikov

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

34 Citations (Scopus)

Abstract

We consider the Potts model on the set ℤ in the field Qp of p-adic numbers. The range of the spin variables σ(n), n ε ℤ, in this model is Φ = { σ₁, σ₂, ⋯, σ_q} ⊂ Q_p^q-1 = Q_p × Q_p × ⋯ × Q_p(q-1). We show that there are some values q = q(p) for which phase transitions occur.

Original language	English
Pages (from-to)	425-431
Number of pages	7
Journal	Theoretical and Mathematical Physics
Volume	130
Issue number	3
DOIs	https://doi.org/10.1023/A:1014723108030
Publication status	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1023/A:1014723108030

Cite this

@article{58871722039a49db82f4d65597b79797,

title = "Existence of a phase transition for the Potts p-adic model on the set ℤ",

abstract = "We consider the Potts model on the set ℤ in the field Qp of p-adic numbers. The range of the spin variables σ(n), n ε ℤ, in this model is Φ = { σ1, σ2, ⋯, σq} ⊂ Qpq-1 = Qp × Qp × ⋯ × Qp(q-1). We show that there are some values q = q(p) for which phase transitions occur.",

author = "Ganikhodzhaev, {N. N.} and Mukhamedov, {F. M.} and Rozikov, {U. A.}",

year = "2002",

doi = "10.1023/A:1014723108030",

language = "English",

volume = "130",

pages = "425--431",

journal = "Theoretical and Mathematical Physics",

issn = "0040-5779",

publisher = "Pleiades Publishing",

number = "3",

}

TY - JOUR

T1 - Existence of a phase transition for the Potts p-adic model on the set ℤ

AU - Ganikhodzhaev, N. N.

AU - Mukhamedov, F. M.

AU - Rozikov, U. A.

PY - 2002

Y1 - 2002

N2 - We consider the Potts model on the set ℤ in the field Qp of p-adic numbers. The range of the spin variables σ(n), n ε ℤ, in this model is Φ = { σ1, σ2, ⋯, σq} ⊂ Qpq-1 = Qp × Qp × ⋯ × Qp(q-1). We show that there are some values q = q(p) for which phase transitions occur.

AB - We consider the Potts model on the set ℤ in the field Qp of p-adic numbers. The range of the spin variables σ(n), n ε ℤ, in this model is Φ = { σ1, σ2, ⋯, σq} ⊂ Qpq-1 = Qp × Qp × ⋯ × Qp(q-1). We show that there are some values q = q(p) for which phase transitions occur.

UR - http://www.scopus.com/inward/record.url?scp=0141634205&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0141634205&partnerID=8YFLogxK

U2 - 10.1023/A:1014723108030

DO - 10.1023/A:1014723108030

M3 - Article

AN - SCOPUS:0141634205

SN - 0040-5779

VL - 130

SP - 425

EP - 431

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 3

ER -

Existence of a phase transition for the Potts p-adic model on the set ℤ

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this