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Approximation of the n-Vicinity Method

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Abstract

The smallness parameter determining the possibility of application of the n-vicinity method for calculating the free energy of a spin system has been found. The types of spin systems for which approximation of the n-vicinity method is valid have been determined. It is shown that this method is adequate for studying the properties of spin systems, in which the effective number of nearest neighbors is more than \(\frac{{16}}{3}\).

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ACKNOWLEDGMENTS

We are grateful to Ya.M. Karandashev for help in carrying out numerical experiments.

Funding

This study was supported by the Russian Foundation for Basic Research, project no. 18-07-00750.

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Authors and Affiliations

  1. Scientific Research Institute for System Analysis, Russian Academy of Sciences, 117218, Moscow, Russia

    B. V. Kryzhanovsky

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  1. B. V. Kryzhanovsky
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Correspondence to B. V. Kryzhanovsky.

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Translated by A. Sin’kov

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Kryzhanovsky, B.V. Approximation of the n-Vicinity Method. Dokl. Phys. 64, 280–284 (2019). https://doi.org/10.1134/S1028335819070103

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