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

Ohmyoung Kwon*, Geoff Wehmeyer, Chris Dames

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    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
    Pages (from-to)334-347
    Number of pages14
    JournalNanoscale and Microscale Thermophysical Engineering
    Volume23
    Issue number4
    DOIs
    Publication statusPublished - 2019 Oct 2

    Bibliographical note

    Publisher Copyright:
    © 2019, © 2019 Taylor & Francis.

    Keywords

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

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • General Materials Science
    • Condensed Matter Physics
    • Mechanics of Materials

    Fingerprint

    Dive into the research topics of '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'. Together they form a unique fingerprint.

    Cite this