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Condensed Matter > Other Condensed Matter

arXiv:1901.06308 (cond-mat)
[Submitted on 18 Jan 2019 (v1), last revised 29 Aug 2021 (this version, v3)]

Title:Calculation of Kapitza resistance with kinetic equation

Authors:A.P. Meilakhs, B.V. Semak
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Abstract:A new method is introduced for calculation of interfacial thermal resistance in the case of heat transport through the interface by phonons. A unique feature of the method is taking into account all the consequences of a non-equilibrium character of phonon distribution functions during the heat transport. We introduce a model set of transmission and reflection amplitudes of phonons at the interface based on the most common in the literature Diffusive Mismatch Model. For the proposed model we derive an exact analytical solution. The problem is also solved for a set of transmission and reflection amplitudes characterized by a free parameter. We found that the calculation results are in a good agreement with the experimental data.
Comments: 11 pages, two columns; 6 figures
Subjects: Other Condensed Matter (cond-mat.other)
Cite as: arXiv:1901.06308 [cond-mat.other]
  (or arXiv:1901.06308v3 [cond-mat.other] for this version)
  https://doi.org/10.48550/arXiv.1901.06308
Journal reference: Physica Status Solidi (b), Volume 258, Issue 8, August 2021
Related DOI: https://doi.org/10.1002/pssb.202100018

Submission history

From: Aleksandr Meilakhs [view email]
[v1] Fri, 18 Jan 2019 15:52:19 UTC (1,681 KB)
[v2] Sun, 28 Jun 2020 13:34:13 UTC (318 KB)
[v3] Sun, 29 Aug 2021 10:12:57 UTC (320 KB)
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