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- Title
Potts model with competing interactions on the Cayley tree: The contour method.
- Authors
Botirov, G. I.; Rozikov, U. A.
- Abstract
We consider the Potts model with three spin values and with competing interactions of radius r = 2 on the Cayley tree of order k = 2. We completely describe the ground states of this model and use the contour method on the tree to prove that this model has three Gibbs measures at sufficiently low temperatures.
- Subjects
GIBBS' equation; LOW temperatures; ADIABATIC demagnetization; QUANTUM liquids; RADIUS (Geometry); DIFFERENTIAL equations; THERMODYNAMICS
- Publication
Theoretical & Mathematical Physics, 2007, Vol 153, Issue 1, p1423
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-007-0125-x