Derives a unified spatiotemporal kernel for heat conduction from microscopic heat-flux correlations that recovers classical transport limits as controlled asymptotics.
The time evolution off(Γ, t) follows the Liouville equation: ∂f (Γ, t) ∂t = −iˆL(Γ)f(Γ, t), (A1) where ˆL is the Liouville operator
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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.