Work

Free energy and entropy for the constructive Gibbs measures of the Ising model on the Cayley tree of order three

Year: 2025

Type: article

Abstract: In this paper, we identify non-translation-invariant constructive Gibbs measures for the Ising model on a third-order Cayley tree, which differ from known ones. We provide the conditions for the existence of at least two distinct Gibbs measures, which implies that a phase transition occurs. The free energies and entropies corresponding to the identified measures are calculated. These free energies and entropies are then compared with the known ones and shown to differ from them.

Source: Nanosystems Physics Chemistry Mathematics

DOI: 10.17586/2220-8054-2025-16-3-261-273

Authors: M. M. Rahmatullaev, Z. A. Burxonova

Institutions: Academy of Sciences Republic of Uzbekistan, New Uzbekistan University, Namangan State University, Namangan davlat texnika universiteti

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411954307

FWCI:

Cites: 33

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Related to: 10