The thermal conductivity is modeled with a spectral form of kinetic theory  
k=13CωνLdω(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=ħωDOSf/T(2)
 
L1=Lbulk1+Lboundary1.(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.
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