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Exact solution for one-dimensional spin models with Markov property
Published 27 Nov 2025 in cond-mat.stat-mech | (2511.22216v1)
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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