Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees
Abstract
The work is devoted to gradient Gibbs measures (GGMs) of a SOS model with countable set $\mathbb Z$ of spin values and having alternating magnetism on Cayley trees. This model is defined by a nearest-neighbor gradient interaction potential. Using Külske-Schriever argument, based on boundary law equations, we give several $q$-height-periodic translations invariant GGMs for $q=2,3,4$.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2022
- arXiv:
- arXiv:2206.00245
- Bibcode:
- 2022arXiv220600245G
- Keywords:
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- Mathematical Physics;
- 82B26;
- 60K35
- E-Print:
- 12 pages, 2 figures. arXiv admin note: text overlap with arXiv:2203.11446