A phenomenological scaling approach for heat transport in nano-systems

D. Jou, J. Casas-Vazquez, G. Lebon, M. Grmela

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Abstract

A phenomenological approach of heat transfer in nano-systems is proposed, on the basis of a continued-fraction expansion of the thermal conductivity, obtained within the framework of extended irreversible thermodynamics. Emphasis is put on the transition from the diffusive, collision-dominated heat transport to the ballistic heat transport, as a function of the mean free path and the length of the system. © 2005 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)963-967
JournalApplied Mathematics Letters
Volume18
DOIs
Publication statusPublished - 1 Aug 2005

Keywords

  • Ballistic transport
  • Continued fractions
  • Extended irreversible thermodynamics
  • Heat transport
  • Nano-systems

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    Jou, D., Casas-Vazquez, J., Lebon, G., & Grmela, M. (2005). A phenomenological scaling approach for heat transport in nano-systems. Applied Mathematics Letters, 18, 963-967. https://doi.org/10.1016/j.aml.2004.06.026