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The Role of Vibrations of Medium-Range Order Clusters in Thermal Conduction of Materials with a Disordered Structure

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Abstract

A microscopic model that provides a satisfactory explanation of the temperature dependence of the thermal conductivity coefficient for dielectric glasses in the temperature range above the plateau is proposed for the first time. According to this model, the transfer of thermal perturbations occurs through harmonic interaction of oscillators localized at medium-range order clusters with hinged bonds. It is demonstrated that the interaction coefficient of these clusters depends on the overlap integral of the spectral lines attributed to natural vibrations of the clusters, whereas the temperature behavior of the thermal conductivity coefficient is governed by the temperature evolution of the widths of the vibrational lines. With due regard for the results of investigations into the broadening of the vibrational lines, the temperature dependence of the thermal conductivity coefficient is calculated in the range 10–500 K. The calculated curve is in good agreement with the experimental data. The proposed model accounts for the low thermal conductivity of glasses in the temperature range under consideration.

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REFERENCES

  1. Zeller, R.C. and Pohl, R.O., Thermal Conductivity and Specific Heat of Noncrystalline Solids, Phys. Rev. B: Solid State, 1971, vol. 4, no. 6, pp. 2029–2040.

    Google Scholar 

  2. Trakhtenberg, L.I. and Flerov, V.N., Thermodynamic and Kinetic Properties of Amorphous Dielectrics at Low Temperatures, Zh. Eksp. Teor. Fiz., 1982, vol. 83, no. 6, pp. 1908–1923.

    Google Scholar 

  3. Karpov, V.G. and Parshin, D.A., On the Thermal Conductivity of Glasses at Temperatures below the Debye Temperature, Zh. Eksp. Teor. Fiz., 1985, vol. 88, no. 6, pp. 2212–2227.

    Google Scholar 

  4. Ramos, M.A. and Buchenau, U., Low-Temperature Thermal Conductivity of Glasses within the Soft-Potential Model, Phys. Rev. B: Condens. Matter, 1997, vol. 55, no. 9, pp. 5749–5754.

    Google Scholar 

  5. Jones, D.P. and Phillips, W.A., Thermal Conductivity of Vitreous Silica, Phys. Rev. B: Condens. Matter, 1983, vol. 27, no. 6, pp. 3891–3894.

    Google Scholar 

  6. Jones, D.P., Jäckle, J., and Phillips, W.A., Dispersion and Thermal Conductivity of SiO2, in Phonon Scattering in Condensed Matter, Maris, H.J., Ed., New York: Plenum, 1980.

    Google Scholar 

  7. Anderson, A.C., Schroeder, J., and McDonald, W.M., Low-Temperature of Potassium and Sodium Silicate Glasses, Phys. Rev. B: Condens. Matter, 1985, vol. 31, no. 2, pp. 1090–1101.

    Google Scholar 

  8. Jäckle, J., On Phonon Localization in Nearly Dimensional Solids, Solid State Commun., 1981, vol. 39, no. 11, pp. 1261–1263.

    Google Scholar 

  9. Dixon, G.S., Galt, B.D., Shu-Yun Shi, Watson P.A., and Wickted J.P., Thermal Transport in Silicate Glasses: I. Localized Phonons, Phys. Rev. B: Condens. Matter, 1994, vol. 49, no. 1, pp. 257–264.

    Google Scholar 

  10. Alexander, S., Entin-Wohlman, O., and Orbach, R., Phonon-Fracton Anharmonic Interaction: The Thermal Conductivity of Amorphous Materials, Phys. Rev. B: Condens. Matter, 1986, vol. 34, no. 4, pp. 2726–2734.

    Google Scholar 

  11. Cahill, D.G. and Pohl, R.O., Thermal Conductivity of Amorphous Solids above the Plateau, Phys. Rev. B: Condens. Matter, 1986, vol. 35, no. 8, pp. 4067–4073.

    Google Scholar 

  12. Cahill, D.G. and Pohl, R.O., Heat Flow and Lattice Vibrations in Glasses, Solid State Commun., 1989, vol. 70, no. 10, pp. 927–930.

    Google Scholar 

  13. Denisov, Yu.V. and Zubovich, A.A., Density of Vibrational States of a Glass on the Medium-Range Order Scale, Fiz. Khim. Stekla, 1999, vol. 25, no. 4, pp. 423–433 [Glass Phys. Chem. (Engl. transl.), 1999, vol. 25, no. 4. pp. 320–327].

    Google Scholar 

  14. Jäckle, J., Low-Frequency Raman Scattering in Glasses, in Amorphous Solids: Low Temperature Properties, Phillips, W.A., Ed., Berlin: Springer, 1981.

    Google Scholar 

  15. Denisov, Yu.V. and Rylev, A.P., Structural Relaxations and Light Scattering in Nitrate Glasses, Fiz. Khim. Stekla, 1999, vol. 25, no. 4, pp. 402–415 [Glass Phys. Chem. (Engl. transl.), 1999, vol. 25, no. 4. pp. 304–313].

    Google Scholar 

  16. Clare, C.Yu. and Freeman, J.J., Thermal Conductivity and Specific Heat of Glasses, Phys. Rev. B: Condens. Matter, 1987, vol. 36, no. 14, pp. 7620–7624.

    Google Scholar 

  17. Stephens, R.B., Intrinsic Low-Temperature Thermal Properties of Glasses, Phys. Rev. B: Solid State, 1976, vol. 13, no. 2, pp. 852–865.

    Google Scholar 

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  1. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    Yu. V. Denisov & A. A. Zubovich

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  1. Yu. V. Denisov
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  2. A. A. Zubovich
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Denisov, Y.V., Zubovich, A.A. The Role of Vibrations of Medium-Range Order Clusters in Thermal Conduction of Materials with a Disordered Structure. Glass Physics and Chemistry 29, 237–242 (2003). https://doi.org/10.1023/A:1024477914328

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