Derives a unified spatiotemporal kernel for heat conduction from microscopic heat-flux correlations that recovers classical transport limits as controlled asymptotics.
In heat transport, the local energy density e(⃗ r, t) and the local heat flux ⃗j(⃗ r, t) are fundamental and satisfy: ∂ ∂t e(⃗ r, t) + ⃗∇r · ⃗j(⃗ r, t) = 0
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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.