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Anomalous Behavior of Phonon Diffusiveness Coefficient of Cubic Compounds with Anomalous Elastic Properties

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Abstract

The phonon diffusiveness coefficient D related to scattering of phonons by point mass defects embedded in cubic crystalline media can be written as product of diffusiveness coefficient for a corresponding reference isotropic medium D is , and the dimensionless coefficient \(\widetilde D\) which depends on two dimensionless elastic parameters s 2 , s 3. This coefficient is studied in the triangle–shaped region of plane (s 2 ,s 3 ) in which cubic elastic crystalline media are mechanically stable. As a function of s 2 and s 3 the coefficient \(\widetilde D\) is nonmonotoneous and behaves singularly on the line s 2 = s 3. The underlying physical mechanism is considered.

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REFERENCES

  1. T. Paszkiewicz and M. Wilczyński, Z. Phys. B 85, 5 (1992).

    Google Scholar 

  2. A. G. Every and A. J. Stoddart, Phys. Rev. B 32, 1319 (1985).

    Google Scholar 

  3. T. Paszkiewicz and M. Pruchnik, Physica A 232, 747 (1996).

    Google Scholar 

  4. S. N. Ivanov, E. N. Khazanov, T. Paszkiewicz, A. V. Taranov, and M. Wilczyński, Z. Phys. B 99, 535 (1996).

    Google Scholar 

  5. T. Paszkiewicz and M. Wilczyński, in: Dynamical Properties of Solids, vol. 7, Phonon Physics: The Cutting Edge, ed. by G. K. Horton and A. A. Maradudin, North-Holland, Amsterdam (1995) pp.257–348.

    Google Scholar 

  6. Valence Fluctuations, Proc. of 4th International Conference, ed. by E. Müller-Hartmann, B. Roden, and D. Wohlleben, North-Holland, Amsterdam (1985).

    Google Scholar 

  7. H. Boppart, J. Magn. Magn. Mat. 47&48, 436 (1985).

    Google Scholar 

  8. H. Boppart, A. Treindl, and P. Wachter, Solid State Commun. 35, 483 (1980).

    Google Scholar 

  9. H. Boppart, P. Wachter, B. Batlogg, and R. G. Maines, Solid State Commun. 38, 75 (1981).

    Google Scholar 

  10. H. Boppart and P. Wachter, Phys. Rev. Lett. 53, 1759 (1984).

    Google Scholar 

  11. U. Schärer and P. Wachter, Solid State Commun. 96, 497 (1995).

    Google Scholar 

  12. U. Schärer and P. Wachter, Europhys. Lett. 37, 299 (1997).

    Google Scholar 

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Paszkiewicz, T., Pruchnik, M. Anomalous Behavior of Phonon Diffusiveness Coefficient of Cubic Compounds with Anomalous Elastic Properties. Journal of Low Temperature Physics 111, 435–440 (1998). https://doi.org/10.1023/A:1022208324726

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  • DOI: https://doi.org/10.1023/A:1022208324726

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