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An analytical model of high frequency oscillations of the kinetic andpotential energies in a one-dimensional harmonic crystal with a substratepotential is obtained by introducing the nonlocal energies [1]. Ageneralization of the kinetic temperature (nonlocal temperature) is adopted toderive a closed equation determining the heat propagation processes in theharmonic crystal with a substrate potential.

Unsteady heat conduction processes in a harmonic crystal with a substrate potential