β Scribed by S.S. Albuquerque; F.A.B.F. de Moura; M.L. Lyra
No coin nor oath required. For personal study only.
We study the nature of collective excitations in harmonic chains with diluted disorder. Using a transfer matrix method, we compute the localization length of eigenmodes within the band of allowed energies in order to investigate the new extended states which appear in this model. To follow the time evolution of an initially localized energy input, we calculate the second moment M 2 Γ°tΓ of the energy spatial distribution. We found that for an impulse initial excitation, the super-diffusive energy spread is not affected by the presence of new resonant modes. However, the energy spread becomes faster for a displacement excitation.
π SIMILAR VOLUMES
Vibration mode localization in disordered cyclic structures is studied. The equations of motion of a wrap-rib antenna are formulated. Only a single substructure mode is taken for each rib. The localization factors which characterize the exponential rates at which the vibration amplitudes grow (decay
Vibration mode localization in disordered cyclic periodic structures with multiple substructure modes is studied. The localization factor characterizing the exponential rate of growth or decay of the amplitudes of vibration is related to the smallest positive Lyapunov exponent of the corresponding d