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arXiv · 2511.22216

Exact solution for one-dimensional spin models with Markov property

Yu. D. Panov
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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.

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Yu. D. Panov. 2025-11-27. Exact solution for one-dimensional spin models with Markov property. https://arxiv.org/abs/2511.22216

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