Abstract
The relationship between the spectral density and the free energy of a spin system is analyzed. Analytical expressions for calculating the spectral density for exactly solvable models are derived. The approach is tested as applied to the one-dimensional Ising model. Additionally, the approach is used to analyze the spectral density of the two-dimensional Ising model, the Bethe-lattice model, and the mean-field model. It is shown that even a small change in the spectral density is able to radically change the parameters of the system.
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Original Russian Text © B.V. Kryzhanovsky, 2018, published in Doklady Akademii Nauk, 2018, Vol. 479, No. 4, pp. 377–381.
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Kryzhanovsky, B.V. Features of the Spectral Density of a Spin System. Dokl. Math. 97, 188–192 (2018). https://doi.org/10.1134/S1064562418020126
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DOI: https://doi.org/10.1134/S1064562418020126