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Gibbs measures of an Ising-Vannimenus Model with one-level competing interactions on 4th order Cayley tree

In this paper, we study an Ising-Vannimenus model on a fourth-order semi-infinite Cayley tree with one-level next-nearest-neighbor interactions. We construct the set of translation-invariant Gibbs measures corresponding to the model satisfying Kolmogorov consistency conditions. We prove the existenc...

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Detalles Bibliográficos
Autores principales: Abu Oun, Sanabel M., Mallak, Saed, Asad, Jihad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9958442/
https://www.ncbi.nlm.nih.gov/pubmed/36852055
http://dx.doi.org/10.1016/j.heliyon.2023.e13418