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Influence of the structure and boundaries of the phonon spectrum of a solid on the dynamics of atomic oscillations and the Lindemann criterion

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Abstract

It is shown that the oscillatory dynamic characteristics of a solid, the phonon spectrum of which has a structure strongly different from that according to the Debye theory, depend on the sample size and this dimensional effect is manifested until reaching a nanoscale level. A generalized expression for the Lindemann criterion is obtained, which takes into account the finite boundaries of the phonon spectrum for various values of its fractal dimension, including those corresponding to the infrared catastrophe phenomenon.

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Authors and Affiliations

  1. Mendeleev University of Chemical Technology, Moscow, 125047, Russia

    V. M. Kuznetsov & V. I. Khromov

Authors
  1. V. M. Kuznetsov
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  2. V. I. Khromov
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Correspondence to V. I. Khromov.

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Original Russian Text © V.M. Kuznetsov, V.I. Khromov, 2009, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 35, No. 10, pp. 66–72.

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Kuznetsov, V.M., Khromov, V.I. Influence of the structure and boundaries of the phonon spectrum of a solid on the dynamics of atomic oscillations and the Lindemann criterion. Tech. Phys. Lett. 35, 470–472 (2009). https://doi.org/10.1134/S1063785009050253

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  • DOI: https://doi.org/10.1134/S1063785009050253

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