GROUND STATES OF TRANSLATION-INVARIANT TYPE FOR THE FOUR-STATE CHUI-WEEKS MODEL ON THE CAYLEY TREE OF ORDER TWO

Authors

  • Muslimaxon Hakimova Student of the Physics and Mathematics Faculty of NamSU

Keywords:

Cayley tree, Chui-Weeks model, ground state, translation invariance.

Abstract

This paper investigates the four-state Chui-Weeks model defined on a Cayley tree of order two. A complete description of all translation-invariant ground states for this model is provided.

References

1. Rahmatullaev M. M., Rasulova M. A., Hakimova M. A. Periodic ground states for the Chui-Weeks model on the Cayley tree of order two // Acta NUUz: Exact sciences. 2024. No. 2/2.1. P. 104–110.

2. Rahmatullaev M. M., Rasulova M. A., Hakimova M. A. On periodic ground states for the Chui-Weeks model // Acta NUUz, Exact sciences, 2025, №2/2, 2025, pp. 105–110.

3. Rasulova M. A., Hakimova M. A. Periodic Ground States for the Chui-Weeks Model on the Cayley Tree of Order Three // Letters in Mathematical Physics. 2025 (accepted).

4. Rozikov U. A. Gibbs measures on Cayley trees. Singapore: World Scientific, 2013.

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Published

2025-10-31

How to Cite

Hakimova , M. (2025). GROUND STATES OF TRANSLATION-INVARIANT TYPE FOR THE FOUR-STATE CHUI-WEEKS MODEL ON THE CAYLEY TREE OF ORDER TWO. THE HARMONY OF TRADITIONAL KNOWLEDGE AND MODERN INNOVATIONS, 1(1), 51–54. Retrieved from https://worldconferences.us/index.php/harmony/article/view/319

Issue

Vol. 1 No. 1 (2025): The Harmony of Traditional Knowledge and Modern Innovations

Section

Articles