Exact solution for one-dimensional spin models with Markov property
Statistical Mechanics
2025-12-01 v1
Abstract
For one-dimensional spin and pseudospin models that allow mapping to a Markov chain, the free energy of the system at a finite temperature can be expressed in terms of bond concentrations. Minimizing the free energy function makes it possible to obtain an exact solution of a statistical model. A dilute Ising chain with interacting impurities is considered as an example.
Keywords
Cite
@article{arxiv.2511.22216,
title = {Exact solution for one-dimensional spin models with Markov property},
author = {Yu. D. Panov},
journal= {arXiv preprint arXiv:2511.22216},
year = {2025}
}
Comments
10 pages, 12 references; will be published in Bulletin of the Russian Academy of Sciences: Physics, Volume 89, supplement issue 3, 2025