The work is devoted to description of unsteady thermal processes in lowdimensional materials. One-dimensional harmonic crystals with alternating masses and
stiffnesses are considered. Analytical solution demonstrates the ballistic nature of heat
propagation, which is confirmed by numerical simulations based on the particle dynamics
method. It is shown that temperature distribution propagates as two consecutive thermal
fronts with finite speed, and its initial shape is preserved.
Keywords: mathematical modeling, low-dimensional materials, discrete media, thermal processes, heat transfer, lattice dynamics, harmonic crystal, polyatomic lattice
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