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:
Research Article
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
Descripción
Sumario: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 existence of the phase transition under specific conditions on the coupling constants and temperature. Numerical examples are presented to clarify the role of the added one-level interactions and results.

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