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Article detail · 2022

Calculation of the Free Energy of the Ising Model on a Cayley Tree via the Self-Similarity Method

Journal

Axioms

ISSN 0921-4526

The ISSN points to another catalog journal; the name is from the YÖKSİS record.

YÖKSİS OpenAlex Open access · gold SJR Q2 JCR Q3 Citations 14 Percentile 80.6% FWCI 1.36
Year
2022
DOI
10.3390/axioms11120703
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • YÖKSİS venue Axioms
  • Catalog match (ISSN) Physica B: Condensed Matter
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

In this study, an interactive Ising model having the nearest and prolonged next-nearest neighbors defined on a Cayley tree is considered. Inspired by the results obtained for the one-dimensional Ising model, we will construct the partition function and then calculate the free energy of the Ising model having the prolonged next nearest and nearest neighbor interactions and external field on a two-order Cayley tree using the self-similarity of the semi-infinite Cayley tree. The phase transition problem for the Ising system is investigated under the given conditions.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

14 citations

OpenAlex cited_by_count (cache / database)

13 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. Quantitative behavior of (1,1/2)-MSIM on a Cayley tree 2023 Citations 18 · OpenAlex
  2. Investigation of thermodynamic properties of mixed-spin (2, 1/2) Ising and Blum–Capel models on a Cayley tree 2024 Citations 14 · OpenAlex
  3. A NEW APPROACH TO STUDYING THE THERMODYNAMIC PROPERTIES OF THE q-STATE POTTS MODEL ON A CAYLEY TREE 2023 Citations 12 · OpenAlex
  4. Phase transition analysis of the Potts-SOS model with spin set {−1,0,+1} on the Cayley tree 2024 Citations 6 · OpenAlex
  5. Calculation of Thermodynamic Quantities of 1D Ising Model with Mixed Spin-(s,(2t − 1)/2) by Means of Transfer Matrix 2023 Citations 6 · OpenAlex
  6. Calculation of some thermodynamic quantities for the Ising model on a kth order Cayley tree 2023 Citations 5 · OpenAlex
  7. q-state modified Potts model on a Cayley tree and its phase transition in antiferromagnetic region 2025 Citations 4 · OpenAlex
  8. New disordered phases of the (s,1/2)-mixed spin Ising model for arbitrary spin s 2024 Citations 4 · OpenAlex
  9. Thermodynamic analysis of the $q$-state Akin model on a Cayley tree 2025 Citations 2 · OpenAlex
  10. THE EXTREMALITY OF DISORDERED PHASES FOR THE MIXED SPIN-(1,1/2) ISING MODEL ON CAYLEY TREE OF ARBITRARY ORDER 2023 Citations 2 · OpenAlex

Authors

  1. HASAN AKIN HARRAN ÜNİVERSİTESİ