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Signatures of Transient Purely Ballistic Heat Conduction: Theory and Experimental Investigation

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Book cover Mechanics and Control of Solids and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 164))

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Abstract

In this paper, we propose an approach to define thermal conductivity for a purely ballistic transient heat conduction and study its size dependence for two-dimensional structures in circular geometry in order to use this dependence as a purely ballistic regime signature. Then, a review of various experimental techniques by which the thermal conductivity is measured is presented. Finally, the thermal conductivity of graphene in purely diffusive regime is measured for one fixed sample size using Raman thermometry. The result of the proposed theoretical approach is a linear dependence on the sample size in the case of purely ballistic thermal conductivity. An outcome of an experimental study of graphene in a purely diffusive regime and the presented review of experimental methods are the basis for an extension of further experimental studies to the anomalous heat conduction regimes.

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Notes

  1. 1.

    FPU \(=\) Fermi-Pasta-Ulam.

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Acknowledgements

The proposed theoretical and experimental approaches lay the foundation for further studies of ballistic heat propagation in crystals within the framework of projects of the German Research Foundation (DFG) (Grant No. 405631704) and the Russian Science Foundation (Grant No. 19-41-04106).

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Authors and Affiliations

  1. Technische Universität Berlin, Einsteinufer 5, 10587, Berlin, Germany

    Aleksei A. Sokolov & Wolfgang H. Müller

  2. Institute for Problems in Mechanical Engineering RAS, V.O., Bolshoy pr., 61, St. Petersburg, 199178, Russia

    Anton M. Krivtsov & Alexey V. Porubov

Authors
  1. Aleksei A. Sokolov
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  2. Wolfgang H. Müller
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  3. Anton M. Krivtsov
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  4. Alexey V. Porubov
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Corresponding author

Correspondence to Aleksei A. Sokolov .

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Editors and Affiliations

  1. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    Vladimir A. Polyanskiy

  2. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    Alexander K. Belyaev

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Sokolov, A.A., Müller, W.H., Krivtsov, A.M., Porubov, A.V. (2022). Signatures of Transient Purely Ballistic Heat Conduction: Theory and Experimental Investigation. In: Polyanskiy, V.A., K. Belyaev, A. (eds) Mechanics and Control of Solids and Structures. Advanced Structured Materials, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-030-93076-9_29

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  • DOI: https://doi.org/10.1007/978-3-030-93076-9_29

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