The thermal conductivity is modeled with a spectral form of kinetic theory
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:
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.
Volume Subject Area:
Microscopic Modeling of Thermophysical Processes and Properties
Topics:
Heat conduction, Mean free path, Phonons, Acoustics, Density, Electromagnetic scattering, Kinetic theory, Radiation scattering, Scattering (Physics), Specific heat, Temperature, Thermal conductivity
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 by ASME
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