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 nearestneighbor gradient interaction potential. Using KülskeSchriever argument, based on boundary law equations, we give several $q$heightperiodic translations invariant GGMs for $q=2,3,4$.
 Publication:

arXiv eprints
 Pub Date:
 June 2022
 arXiv:
 arXiv:2206.00245
 Bibcode:
 2022arXiv220600245G
 Keywords:

 Mathematical Physics;
 82B26;
 60K35
 EPrint:
 12 pages, 2 figures. arXiv admin note: text overlap with arXiv:2203.11446