Anomalous heat transfer in one-dimensional diatomic harmonic crystal

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.