Propagation of vibrational modes in classical harmonic lattice with correlated disorder
| Autor: | Francisco A. B. F. de Moura, M.O. Sales, José L L Dos Santos, Leonade D Da Silva, Adhemar Ranciaro Neto |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Anderson localization Multidisciplinary correlated disorder Mass distribution Vibrational energy 01 natural sciences Molecular physics Power law Uncorrelated localization 010305 fluids & plasmas Energy flow Lattice (order) Molecular vibration 0103 physical sciences lcsh:Q lcsh:Science 010306 general physics harmonic lattice |
| Zdroj: | Anais da Academia Brasileira de Ciências v.91 n.2 2019 Anais da Academia Brasileira de Ciências Academia Brasileira de Ciências (ABC) instacron:ABC Anais da Academia Brasileira de Ciências, Vol 91, Iss 2 Anais da Academia Brasileira de Ciências, Volume: 91, Issue: 2, Article number: e20180114, Published: 01 JUL 2019 |
| Popis: | The vibrational modes with nonzero frequency are localized in harmonic lattice with disordered masses. In our work, we investigated numerically the propagation of vibrational energy in harmonic lattice with long-range correlated disordered masses, which are randomly distributed with power law spectrum S ( k ) ∝ k − α. For α = 0, a standard uncorrelated disordered mass distribution was observed and for α > 0 its distribution exhibits intrinsic long-range correlations. Our procedure was done by the numerical solution of the classical equations for the mass displacement and velocities. Energy flow was investigated after injection of an initial wave-packet with energy E0 and the dynamics of the vibrational energy wave-packet was analyzed. We also investigated the dynamics of a pulse pumped at one side of the lattice. Our calculations suggest that vibrational modes with nonzero frequency propagate within harmonic lattice with correlated disordered masses distribution. |
| Databáze: | OpenAIRE |
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