Ground States and Phase Transition of the λ Model on the Cayley Tree

F. Mukhamedov; Chin Hee Pah; H. Jamil

doi:10.1134/S004057791802006X

Ground States and Phase Transition of the λ Model on the Cayley Tree

F. Mukhamedov
, Chin Hee Pah
, H. Jamil

Department of Mathematical Sciences

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

7 Citations (Scopus)

Abstract

We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist.

Original language	English
Pages (from-to)	260-273
Number of pages	14
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	194
Issue number	2
DOIs	https://doi.org/10.1134/S004057791802006X
Publication status	Published - Feb 1 2018

Keywords

Gibbs measure
ground state
phase transition

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1134/S004057791802006X

Cite this

@article{2e54a60fa41a448f80aaa498b459050a,

title = "Ground States and Phase Transition of the λ Model on the Cayley Tree",

abstract = "We consider the λ model, a generalization of the Potts model, with spin values \{1, 2, 3\} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist.",

keywords = "Gibbs measure, ground state, phase transition",

author = "F. Mukhamedov and Pah, \{Chin Hee\} and H. Jamil",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = feb,

day = "1",

doi = "10.1134/S004057791802006X",

language = "English",

volume = "194",

pages = "260--273",

journal = "Theoretical and Mathematical Physics(Russian Federation)",

issn = "0040-5779",

publisher = "Pleiades Publishing",

number = "2",

}

TY - JOUR

T1 - Ground States and Phase Transition of the λ Model on the Cayley Tree

AU - Mukhamedov, F.

AU - Pah, Chin Hee

AU - Jamil, H.

PY - 2018/2/1

Y1 - 2018/2/1

N2 - We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist.

AB - We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist.

KW - Gibbs measure

KW - ground state

KW - phase transition

UR - https://www.scopus.com/pages/publications/85053816459

UR - https://www.scopus.com/pages/publications/85053816459#tab=citedBy

U2 - 10.1134/S004057791802006X

DO - 10.1134/S004057791802006X

M3 - Article

AN - SCOPUS:85053816459

SN - 0040-5779

VL - 194

SP - 260

EP - 273

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

IS - 2

ER -

Ground States and Phase Transition of the λ Model on the Cayley Tree

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this