On the theory of nonlinear thermal conductivity
- Authors: Gladkov S.O.1, Bogdanova S.B.1
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Affiliations:
- Moscow Aviation Institute (National Research Center)
- Issue: Vol 61, No 2 (2016)
- Pages: 157-164
- Section: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/196807
- DOI: https://doi.org/10.1134/S1063784216020110
- ID: 196807
Cite item
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.
About the authors
S. O. Gladkov
Moscow Aviation Institute (National Research Center)
Author for correspondence.
Email: sglag@newmail.ru
Russian Federation, Volokalamskoe sh. 4, Moscow, 125993
S. B. Bogdanova
Moscow Aviation Institute (National Research Center)
Email: sglag@newmail.ru
Russian Federation, Volokalamskoe sh. 4, Moscow, 125993