Modified Ballistic–Diffusive Equations for Obtaining Phonon Mean Free Path Spectrum from Ballistic Thermal Resistance: II. Derivation of Integral Equation Based on Ballistic Thermal Resistance

Oh Myoung Kwon, Geoff Wehmeyer, Chris Dames

Research output: Contribution to journalArticle

Abstract

Rebuilding phonon mean free path (MFP) spectra from experimental data is integral to phonon MFP spectroscopy. However, being based on effective thermal conductivity, the current integral equation for this precludes the use of certain heat sources of convenient shapes, such as a cylindrical nanoline. Herein, to enable using diverse specimens exhibiting a ballistic effect, we develop a ballistic thermal resistance-based integral equation, utilizing the ease and accuracy of the modified ballistic–diffusive equations demonstrated in the companion paper. The availability of more diverse shapes of specimens will enhance further development and widen use of phonon MFP spectroscopy.

Original languageEnglish
JournalNanoscale and Microscale Thermophysical Engineering
DOIs
Publication statusPublished - 2019 Jan 1

Fingerprint

thermal resistance
Ballistics
Heat resistance
mean free path
ballistics
Integral equations
integral equations
derivation
Spectroscopy
Thermal conductivity
Availability
heat sources
spectroscopy
availability
thermal conductivity
Hot Temperature

Keywords

  • ballistic thermal resistance
  • ballistic–diffusive equations
  • effective thermal conductivity
  • Phonon mean free path
  • phonon mean free path spectrum

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials

Cite this

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AU - Wehmeyer, Geoff

AU - Dames, Chris

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AB - Rebuilding phonon mean free path (MFP) spectra from experimental data is integral to phonon MFP spectroscopy. However, being based on effective thermal conductivity, the current integral equation for this precludes the use of certain heat sources of convenient shapes, such as a cylindrical nanoline. Herein, to enable using diverse specimens exhibiting a ballistic effect, we develop a ballistic thermal resistance-based integral equation, utilizing the ease and accuracy of the modified ballistic–diffusive equations demonstrated in the companion paper. The availability of more diverse shapes of specimens will enhance further development and widen use of phonon MFP spectroscopy.

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KW - Phonon mean free path

KW - phonon mean free path spectrum

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