On the solenoidal heat-flux in quasi-ballistic thermal conduction

The Boltzmann transport equation for phonons is recast directly in terms of the heat-flux by means of iteration followed by truncation at the second order in the spherical harmonic expansion of the distribution function. This procedure displays the heat-flux in an explicitly coordinate-invariant for...

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Veröffentlicht in:Journal of applied physics 2015-09, Vol.118 (12)
Hauptverfasser: Ramu, Ashok T., Bowers, John E.
Format: Artikel
Sprache:eng
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Zusammenfassung:The Boltzmann transport equation for phonons is recast directly in terms of the heat-flux by means of iteration followed by truncation at the second order in the spherical harmonic expansion of the distribution function. This procedure displays the heat-flux in an explicitly coordinate-invariant form, and leads to a natural decomposition into two components, namely, the solenoidal component in addition to the usual irrotational component. The solenoidal heat-flux is explicitly shown to arise by applying the heat-flux equation to a right-circular cylinder. These findings are important in the context of phonon resonators that utilize the strong quasi-ballistic thermal transport reported recently in silicon membranes at room temperature.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.4931610