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Temperature series in the statistical theory of a crystal

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Abstract

A method of solving the Vlasov equation is developed for a crystal using an asymptotic expansion in terms of the temperature. The internal and free energy of cubic crystals is calculated with an accuracy up to terms proportional to T4.

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Literature cited

  1. V. A. Golovko, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 85 (1978).

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  2. A. A. Vlasov, Multiparticle Theory [in Russian], Gostekhizdat (1950).

  3. N. G. de Bruyn, Asymptotic Methods in Analysis, North-Holland (1970).

  4. M. A. Evgrafov, Asymptotic Estimates and Integral Functions [in Russian], Fizmatgiz (1962).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 67–72, February, 1979.

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Golovko, V.A. Temperature series in the statistical theory of a crystal. Soviet Physics Journal 22, 165–169 (1979). https://doi.org/10.1007/BF00892010

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  • DOI: https://doi.org/10.1007/BF00892010

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