Skip to main content
SpringerLink
Log in

On the theory of nonlinear thermal conductivity

  • Theoretical and Mathematical Physics
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

A nonlinear differential equation of thermal conductivity is derived phenomenologically from the general principles of construction of functional Q invariant to the inversion operation I(r →–r), and the temperature evolution dynamics is analyzed in the nonstationary case. The proposed method makes it possible to reveal some general regularities in the physical behavior of such systems for describing irreversible phenomena in self-organization processes. It is noted that an analogous situation may take place, for example, in strongly inhomogeneous structures with stochastic internal heat fluxes.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order through Fluctuations (Wiley, New York, 1977).

    MATH  Google Scholar 

  2. H. G. Schuster, Deterministic Chaos (Physik, Weinheim, 1984).

    MATH  Google Scholar 

  3. M. R. Schroeder, Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity, 2nd ed. (Springer, Berlin–New York, 1990).

    Google Scholar 

  4. S. O. Gladkov and I. V. Gladyshev, Tech. Phys. 46, 273 (2001).

    Article  Google Scholar 

  5. S. O. Gladkov and I. V. Gladyshev, Tech. Phys. 46, 492 (2001).

    Article  Google Scholar 

  6. S. O. Gladkov and A. M. Tokarev, Combust., Explos. Shock Waves 26, 25 (1990).

    Article  Google Scholar 

  7. S. O. Gladkov, Dielectric Properties of Porous Media (Springer, New York, 2003).

    Book  Google Scholar 

  8. B. A. Strukov and A. P. Levanyuk, Physical Bases of Ferroelectric Phenomena in Crystals (Nauka, Moscow, 1983).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Aviation Institute (National Research Center), Volokalamskoe sh. 4, Moscow, 125993, Russia

    S. O. Gladkov & S. B. Bogdanova

Authors
  1. S. O. Gladkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. B. Bogdanova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. O. Gladkov.

Additional information

Original Russian Text © S.O. Gladkov, S.B. Bogdanova, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 61, No. 2, pp. 1–7.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gladkov, S.O., Bogdanova, S.B. On the theory of nonlinear thermal conductivity. Tech. Phys. 61, 157–164 (2016). https://doi.org/10.1134/S1063784216020110

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784216020110

Keywords

Search

Navigation