Derives a unified spatiotemporal kernel for heat conduction from microscopic heat-flux correlations that recovers classical transport limits as controlled asymptotics.
As a result, all phonon properties, includ- ing mode frequency ω, group velocity ⃗ v, and the phonon scattering matrix L, are spatially homogeneous and independent of position ⃗ r
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Unified Statistical Theory of Heat Conduction in Nonuniform Media
Derives a unified spatiotemporal kernel for heat conduction from microscopic heat-flux correlations that recovers classical transport limits as controlled asymptotics.