Propagation of vibrational modes in classical harmonic lattice with correlated disorder

Detalhes bibliográficos
Autor(a) principal: SILVA,LEONADE D. DA
Data de Publicação: 2019
Outros Autores: RANCIARO NETO,ADHEMAR, SALES,MESSIAS O., SANTOS,JOSÉ L.L. DOS, MOURA,FRANCISCO A.B.F. DE
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300302
Resumo: Abstract: 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.
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spelling Propagation of vibrational modes in classical harmonic lattice with correlated disorderlocalizationcorrelated disorderAnderson localizationharmonic latticeAbstract: 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.Academia Brasileira de Ciências2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300302Anais da Academia Brasileira de Ciências v.91 n.2 2019reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201920180114info:eu-repo/semantics/openAccessSILVA,LEONADE D. DARANCIARO NETO,ADHEMARSALES,MESSIAS O.SANTOS,JOSÉ L.L. DOSMOURA,FRANCISCO A.B.F. DEeng2019-06-27T00:00:00Zoai:scielo:S0001-37652019000300302Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2019-06-27T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Propagation of vibrational modes in classical harmonic lattice with correlated disorder
title Propagation of vibrational modes in classical harmonic lattice with correlated disorder
spellingShingle Propagation of vibrational modes in classical harmonic lattice with correlated disorder
SILVA,LEONADE D. DA
localization
correlated disorder
Anderson localization
harmonic lattice
title_short Propagation of vibrational modes in classical harmonic lattice with correlated disorder
title_full Propagation of vibrational modes in classical harmonic lattice with correlated disorder
title_fullStr Propagation of vibrational modes in classical harmonic lattice with correlated disorder
title_full_unstemmed Propagation of vibrational modes in classical harmonic lattice with correlated disorder
title_sort Propagation of vibrational modes in classical harmonic lattice with correlated disorder
author SILVA,LEONADE D. DA
author_facet SILVA,LEONADE D. DA
RANCIARO NETO,ADHEMAR
SALES,MESSIAS O.
SANTOS,JOSÉ L.L. DOS
MOURA,FRANCISCO A.B.F. DE
author_role author
author2 RANCIARO NETO,ADHEMAR
SALES,MESSIAS O.
SANTOS,JOSÉ L.L. DOS
MOURA,FRANCISCO A.B.F. DE
author2_role author
author
author
author
dc.contributor.author.fl_str_mv SILVA,LEONADE D. DA
RANCIARO NETO,ADHEMAR
SALES,MESSIAS O.
SANTOS,JOSÉ L.L. DOS
MOURA,FRANCISCO A.B.F. DE
dc.subject.por.fl_str_mv localization
correlated disorder
Anderson localization
harmonic lattice
topic localization
correlated disorder
Anderson localization
harmonic lattice
description Abstract: 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.
publishDate 2019
dc.date.none.fl_str_mv 2019-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300302
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300302
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201920180114
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.91 n.2 2019
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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