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Hydrodynamic Heat Transport in Compact and Holey Silicon Thin Films

A. Beardo1,*, M. Calvo-Schwarzwälder2,3, J. Camacho1, T.G. Myers3, P. Torres1, L. Sendra1, F.X. Alvarez1, and J. Bafaluy1

  • 1Physics Department, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
  • 2Mathematics Department, Universitat Politècnica de Catalunya, 08028 Barcelona, Spain
  • 3Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08913 Barcelona, Spain

  • *albert.beardo@uab.cat
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Phys. Rev. Applied 11, 034003 – Published 1 March, 2019

DOI: https://doi.org/10.1103/PhysRevApplied.11.034003

Abstract

A multiscale hydrodynamic-heat-transport model applicable to arbitrary geometries using finite-element methods is compared with the experimental effective thermal conductivity of silicon thin films and periodic holey membranes for different sizes and temperatures. The range of system length scales and temperatures in which the model predictions agree with experimental data is discussed and quantitatively determined. The model agrees with experimental results when the smallest system size is larger than twice the nonlocal length, an intrinsic property of the material that depends only on temperature. These results open the door to the use of the hydrodynamic equation instead of an effective Fourier model to interpret current heat-transport experimental data.

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Phys. Rev. Applied 11, 034003– Published 1 March, 2019
  • Received 16 October 2018
  • Revised 1 December 2018
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