Exact solution for one-dimensional spin models with Markov property
arXiv:2511.22216
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.
10 pages, 12 references; will be published in Bulletin of the Russian Academy of Sciences: Physics, Volume 89, supplement issue 3, 2025