Article detail · 2021
Determination of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree
- Year
- 2021
- Type
- article
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- YÖKSİS YÖKSİS article record
- YÖKSİS venue Condensed Matter Physics
- Catalog match (ISSN) Condensed Matter Physics
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
In this present paper, the recurrence equations of an Ising model with three coupling constants on a third-order Cayley tree are obtained. Paramagnetic and ferromagnetic phases associated with the Ising model are characterized. Types of phases and partition functions corresponding to the model are rigorously studied. Exact solutions of the mentioned model are compared with the numerical results given in Ganikhodjaev et al. [J. Concr. Appl. Math., 2011, 9, No. 1, 26-34].
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8 citations
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8 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Quantitative behavior of (1,1/2)-MSIM on a Cayley tree 2023
- A novel computational method of the free energy for an Ising model on Cayley tree of order three 2022
- Calculation of the Free Energy of the Ising Model on a Cayley Tree via the Self-Similarity Method 2022
- On the Periodicity of the Rational Dynamical System Corresponding to the Vannimenus–Ising Model 2023
- New Gibbs measures of the Ising model on a Cayley tree in the presence of triple effective local external fields 2022
- Phase diagrams of lattice models on Cayley tree and chandelier network: a review 2022
- New disordered phases of the (s,1/2)-mixed spin Ising model for arbitrary spin s 2024
- THE EXTREMALITY OF DISORDERED PHASES FOR THE MIXED SPIN-(1,1/2) ISING MODEL ON CAYLEY TREE OF ARBITRARY ORDER 2023