Skip to content
akaturk Academic measurement
Sign in Sign up

Article detail · 2018

Gibbs measures with memory of length 2 on an arbitrary-order Cayley tree

Journal

International Journal of Modern Physics C

ISSN 0129-1831

YÖKSİS OpenAlex Open access · green SJR Q3 JCR Q3 Citations 11 Percentile 51.5% FWCI 0.17
Year
2018
DOI
10.1142/S012918311850016X
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • YÖKSİS venue International Journal of Modern Physics C
  • Catalog match (ISSN) International Journal of Modern Physics C
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

In this paper, we consider the Ising-Vanniminus model on an arbitrary-order Cayley tree. We generalize the results conjectured by Akın [Chinese J. Phys. 54(4), 635–649 (2016) and Int. J. Mod. Phys. B 31(13), 1750093 (2017)] for an arbitrary-order Cayley tree. We establish the existence and a full classification of translation-invariant Gibbs measures (TIGMs) with a memory of length 2 associated with the model on arbitrary-order Cayley tree. We construct the recurrence equations corresponding to the generalized ANNNI model. We satisfy the Kolmogorov consistency condition. We propose a rigorous measure-theoretical approach to investigate the Gibbs measures with a memory of length 2 for the model. We explain if the number of branches of the tree does not change the number of Gibbs measures. Also, we try to determine when the phase transition does occur.

Topics

Citations

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

11 citations

OpenAlex cited_by_count (cache / database)

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

  1. The classification of disordered phases of mixed spin (2,1/2) Ising model and the chaoticity of the corresponding dynamical system 2023 Citations 19 · OpenAlex
  2. Quantitative behavior of (1,1/2)-MSIM on a Cayley tree 2023 Citations 18 · OpenAlex
  3. A novel computational method of the free energy for an Ising model on Cayley tree of order three 2022 Citations 15 · OpenAlex
  4. Calculation of the Free Energy of the Ising Model on a Cayley Tree via the Self-Similarity Method 2022 Citations 14 · OpenAlex
  5. On the Periodicity of the Rational Dynamical System Corresponding to the Vannimenus–Ising Model 2023 Citations 12 · OpenAlex
  6. New Gibbs measures of the Ising model on a Cayley tree in the presence of triple effective local external fields 2022 Citations 12 · OpenAlex
  7. The extremality of disordered phases for the mixed spin-(1,1/2) Ising model on a Cayley tree of arbitrary order 2024 Citations 8 · OpenAlex
  8. Determination of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree 2021 Citations 8 · OpenAlex
  9. Calculation of some thermodynamic quantities for the Ising model on a kth order Cayley tree 2023 Citations 5 · OpenAlex
  10. New disordered phases of the (s,1/2)-mixed spin Ising model for arbitrary spin s 2024 Citations 4 · OpenAlex

Authors

  1. HASAN AKIN HARRAN ÜNİVERSİTESİ