A Broad Range of Phonon Mean Free Paths Is Important for Heat Conduction

  • C. Dames
    University of California at Riverside, Riverside, CA

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<jats:p>The thermal conductivity is modeled with a spectral form of kinetic theory k=13∫CωνLdω(1) where ω is the angular frequency, Cω is the specific heat per unit frequency, ν = ∂ω/∂q is the group velocity, and L is the effective mean free path (MFP) which combines bulk and boundary scattering using Matthiessen’s rule: Cω=ħωDOS∂f/∂T(2)L−1=Lbulk−1+Lboundary−1.(3) Here q is the wavevector, DOS is the density of states (acoustic modes only), T is the temperature, and f is the Bose-Einstein distribution function.</jats:p>

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