THE EXACT SOLUTION OF ONE-DIMENSIONAL SPIN MODELS WITH THE MARKOV PROPERTY
- Authors: Panov Y.D.1
-
Affiliations:
- Ural Federal University
- Issue: Vol 126, No 8 (2025)
- Pages: 885-890
- Section: ЭЛЕКТРИЧЕСКИЕ И МАГНИТНЫЕ СВОЙСТВА
- URL: https://ogarev-online.ru/0015-3230/article/view/307995
- DOI: https://doi.org/10.7868/S3034621525080065
- ID: 307995
Cite item
Open Access
Access granted
Subscription Access
Abstract
For one-dimensional spin and pseudospin models that can be mapped to a Markov chain, the free energy of the system at finite temperature can be expressed as a function of bond concentrations. By minimizing the free energy, we can obtain an exact solution for the statistical model. As examples, we consider the one-dimensional Potts model and the dilute Ising chain with interacting impurities.
About the authors
Yury D. Panov
Ural Federal University
Author for correspondence.
Email: yuri.panov@urfu.ru
ORCID iD: 0000-0001-5751-2400
SPIN-code: 3982-0285
Scopus Author ID: 7006785920
ResearcherId: M-3617-2016
доцент, кафедра теоретической и математической физики, институт естественных наук и математики, Уральский федеральный университет
Russian Federation, Ekaterinburg, 620062 RussiaReferences
Supplementary files
