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Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree.
- Source :
-
Theoretical & Mathematical Physics . Aug2008, Vol. 156 Issue 2, p1218-1227. 10p. - Publication Year :
- 2008
-
Abstract
- We introduce the concept of a weakly periodic Gibbs measure. For the Ising model, we describe a set of such measures corresponding to normal subgroups of indices two and four in the group representation of a Cayley tree. In particular, we prove that for a Cayley tree of order four, there exist critical values T c < T cr of the temperature T > 0 such that there exist five weakly periodic Gibbs measures for 0 < T < T c or T > T cr , three weakly periodic Gibbs measures for T = T c , and one weakly periodic Gibbs measure for T c < T ≤ T cr . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00405779
- Volume :
- 156
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Theoretical & Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 34204691
- Full Text :
- https://doi.org/10.1007/s11232-008-0091-y