Skip to main content
Log in

Nonequilibrium distribution function in the presence of a heat flux at the interface between two crystals

  • Surface Physics and Thin Films
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

A nonequilibrium distribution function in the presence of a heat flux at the interface between two crystals has been investigated in the model of a one-dimensional harmonic chain. Matching conditions of distribution functions for different sides from the interface have been derived. A method for the calculation of the boundary thermal resistance using the generalized Enskog-Chapman method has been proposed. The exact formula has been derived with simplifying assumptions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. V. Kidalov and F. M. Shakhov, Materials 2, 2467 (2009).

    Article  ADS  Google Scholar 

  2. P. L. Kapitza, J. Phys. (Moscow) 4, 181 (1941).

    Google Scholar 

  3. G. L. Pollack, Rev. Mod. Phys. 41, 48 (1969).

    Article  ADS  Google Scholar 

  4. R. J. Stoner and H. J. Maris, Phys. Rev. B: Condens. Matter 48, 16373 (1993).

    Article  ADS  Google Scholar 

  5. E. T. Swartz and R. O. Pohl, Appl. Phys. Lett. 51, 2200 (1987).

    Article  ADS  Google Scholar 

  6. H.-K. Lyeo and D. G. Cahill, Phys. Rev. B: Condens. Matter 73, 144301 (2006).

    Article  ADS  Google Scholar 

  7. R. M. Costescu, M. A. Wall, and D. G. Cahill, Phys. Rev. B: Condens. Matter 67, 054302 (2003).

    Article  ADS  Google Scholar 

  8. I. M. Khalatnikov, Zh. Eksp. Teor. Fiz. 22, 687 (1952).

    MATH  Google Scholar 

  9. W. A. Little, Can. J. Phys. 37, 334 (1959).

    Article  ADS  Google Scholar 

  10. L. Huberman and A. W. Overhauser, Phys. Rev. B: Condens. Matter 50, 2865 (1994).

    Article  ADS  Google Scholar 

  11. G. D. Mahan, Phys. Rev. B: Condens. Matter 79,075408 (2009).

    Article  ADS  Google Scholar 

  12. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 10: Physical Kinetics (Nauka, Moscow, 1979; Butterworth-Heinemann, Oxford, 1981).

    Google Scholar 

  13. L. Zhang, P. Keblinski, J.-S. Wang, and B. Li, Phys. Rev. B: Condens. Matter 83, 064303 (2011).

    Article  ADS  Google Scholar 

  14. A. P. Meilakhs and E. D. Eidelman, JETP Lett. 97(1), 38 (2013).

    Article  ADS  Google Scholar 

  15. A. M. van den Brink, Phys. Rev. B: Condens. Matter 51, 17842 (1995).

    Article  ADS  Google Scholar 

  16. Z. Tian, K. Esfarjani, and G. Chen, Phys. Rev. B: Condens. Matter 86, 235304 (2012).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. P. Meilakhs.

Additional information

Original Russian Text © A.P. Meilakhs, 2015, published in Fizika Tverdogo Tela, 2015, Vol. 57, No. 1, pp. 140–144.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Meilakhs, A.P. Nonequilibrium distribution function in the presence of a heat flux at the interface between two crystals. Phys. Solid State 57, 148–152 (2015). https://doi.org/10.1134/S1063783415010217

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783415010217

Keywords

Navigation