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Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree.
- Source :
-
Theoretical & Mathematical Physics . Sep2009, Vol. 160 Issue 3, p1292-1300. 9p. - Publication Year :
- 2009
-
Abstract
- We introduce the notion of a weakly periodic configuration. For the Ising model with competing interactions, we describe the set of all weakly periodic ground states corresponding to normal divisors of indices 2 and 4 of the group representation of the Cayley tree. In addition, we study new Gibbs measures for the Ising model. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00405779
- Volume :
- 160
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Theoretical & Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 44729055
- Full Text :
- https://doi.org/10.1007/s11232-009-0116-1