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

28 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

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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.",

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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.

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

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