Vibrational modes in harmonic chains with diluted disorder

S.S. Albuquerque, F.A.B.F. de Moura and M.L. Lyra

Physica A: Statistical Mechanics and its Applications, 2005, vol. 357, issue 1, 165-172

Abstract: 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 M2(t) 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.

Keywords: Vibrational modes; Localization; Anomalous diffusion (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:357:y:2005:i:1:p:165-172

DOI: 10.1016/j.physa.2005.05.059

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