| Since the experimental discovery of quasicrystals in 1984 by D.Shechtman, et al, this new material has attracted much attention and has been extensively studied. In recent years, there are more interests in the studies of quasiperiodic structures, such as Fibonacci modeK general Fibonacci modeK PD(Period-Doubling) and TM(Thue-Morse) model.In this paper, we have studied the transmission of a plane wave through a 1D quasiperiodic or aperiodic chain by numerical method. Moreover the heatconduction for these chains is calculated. It is found that the heat flux J ~ N -1(0.5< <1), and depends on the on-site potentials. Finally, the results are compared with periodic and random chains.Then we studied acoustic wave propagation in 1D quasiperiodic and aperiodic systems by means of he transfer matrix. Transmission rate, reflection rate, energy flow, logarithmic energy flow, energy density and Lyapunov exponent are computed numerically ,and compared with periodic and random system. |
