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An asymptotic representation is obtained at large times for the thermal wavefront
propagating in a one-dimensional harmonic crystal. The propagation of thermal waves from a
localized thermal perturbation and the transition zone between regions with different
temperatures is considered. An explicit solution is given for a number of the simplest forms of
the initial temperature distribution. It is shown that during the wave evolution, the wavefront
smoothes, e.g., for a power-law dependence its degree increases by 1/2.
Keywords: low-dimensional materials, discrete media, thermal processes, anomalous heat transfer, harmonic crystal, localized perturbations, asymptotics, wavefront |
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