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In the harmonic case, the energy profile $ \\bar{< e_n(t)>}$ averaged on time and disorder decays for large $|n-n_0|$ as a power law $\\bar{< e_n(t)>}\\approx C|n-n_0|^{-\\eta}$ where $\\eta=5/2$ and 3/2 for initial displacement and momentum excitations, respectively. The prefactor $C$ depends on the probability distribution of the harmonic coupling constants and diverges in the limit of weak disorder. 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Schilling, S. Aubry, S. Lepri","submitted_at":"2010-10-20T15:40:35Z","abstract_excerpt":"We investigate the long time behavior of a wavepacket initially localized at a single site $n_0$ in translationally invariant harmonic and anharmonic chains with random interactions. In the harmonic case, the energy profile $ \\bar{< e_n(t)>}$ averaged on time and disorder decays for large $|n-n_0|$ as a power law $\\bar{< e_n(t)>}\\approx C|n-n_0|^{-\\eta}$ where $\\eta=5/2$ and 3/2 for initial displacement and momentum excitations, respectively. The prefactor $C$ depends on the probability distribution of the harmonic coupling constants and diverges in the limit of weak disorder. 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