Generation and thermal transport of coherent phonons at the instantaneous pulse heating is studied by molecular dynamics method in the presence of diffusion. Coherent phonon formation and propagation characteristics are compared for different shapes of the heating pulse, square, Gaussian, and triangle, in the Lennard-Jones (LJ) nanoribbon model. Energy of heating that exceeds the equilibrium energy of a heated region relaxes by emitting a train (3 to 5) of coherent phonons. As it was shown, in the molecular dynamic (MD) model, the equations of heat flux can resolve wave motion with high resolution for different pulse shapes when translational and vibrational motion in the sample are approximated over sequence of separate sampling regions that correspond in size (several atomic layers) to a single phonon vibration period. Density of states (DOS) at heating and propagation subregions is utilized for identification of coherent phonon frequencies together with the shape of envelope at the different pulse shapes and heating times in the nanoribbon sample. In the presence of diffusion, generation and decay of the phonons is studied as dependent on the energy density of the heating pulse for the different heating periods. The Gaussian profile of the heating pulse of different lengths leads to a higher percentage of heating energy to be converted into coherent phonons relative to the other pulse shapes.
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