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Gibbs measures for the SOS model with four states on a Cayley tree.

Authors :
Rozikov, U. A.
Shoyusupov, Sh. A.
Source :
Theoretical & Mathematical Physics. Oct2006, Vol. 149 Issue 1, p1312-1323. 12p.
Publication Year :
2006

Abstract

We analyze the SOS (solid-on-solid) model with spins 0, 1, 2, 3 on a Cayley tree of order k ≥ 1. We consider translation-invariant and periodic splitting Gibbs measures for this model. The majority of the constructed Gibbs measures are mirror symmetric. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00405779
Volume :
149
Issue :
1
Database :
Academic Search Index
Journal :
Theoretical & Mathematical Physics
Publication Type :
Academic Journal
Accession number :
22911566
Full Text :
https://doi.org/10.1007/s11232-006-0120-7