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Stability conditions for an anharmonic crystal in the mixed state

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Abstract

Stability conditions and the existence of metastable states for anharmonic crystals are examined within the framework of the theory of self-consistent phonons. Taking account of the self-consistent formation of liquid-like and crystal-like clusters in a crystal of fluid, the temperature nature of the behavior of the rms displacements and vibrations frequencies of atoms, the specific heat and the fraction of atoms in the liquid phase are investigated at the crystal-fluid transition. Expressions are obtained for the melting point and the absolute stability of the crystalline state, and domains of existence of crystal overheating and fluid supercooling are determined. The results of the computation are compared with experimental data for inert gases and with results obtained within the framework of a single-phase theory of consistent phonons.

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Authors and Affiliations

  1. Uzhgorod State University, USSR

    M. I. Mar'yan

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  1. M. I. Mar'yan
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 15–19, December, 1990.

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Mar'yan, M.I. Stability conditions for an anharmonic crystal in the mixed state. Soviet Physics Journal 33, 998–1001 (1990). https://doi.org/10.1007/BF00895273

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  • DOI: https://doi.org/10.1007/BF00895273

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