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Discrete Breathers in One-Dimensional Diatomic Granular Crystals

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dc.contributor.authorBoechler, N
dc.contributor.authorTheocharis, G
dc.contributor.authorJob, S
dc.contributor.authorKevrekidis, PG
dc.contributor.departmentUniversity of Massachusetts - Amherst
dc.date2023-09-23T03:00:48.000
dc.date.accessioned2024-04-26T18:38:19Z
dc.date.available2024-04-26T18:38:19Z
dc.date.issued2010-01-01
dc.descriptionThis is the pre-published version harvested from arXiv. The published version is located at http://prl.aps.org/abstract/PRL/v104/i24/e244302
dc.description.abstractWe report the experimental observation of modulational instability and discrete breathers in a one-dimensional diatomic granular crystal composed of compressed elastic beads that interact via Hertzian contact. We first characterize their effective linear spectrum both theoretically and experimentally. We then illustrate theoretically and numerically the modulational instability of the lower edge of the optical band. This leads to the dynamical formation of long-lived breather structures, whose families of solutions we compute throughout the linear spectral gap. Finally, we experimentally observe the manifestation of the modulational instability and the resulting generation of localized breathing modes with quantitative characteristics that agree with our numerical results.
dc.identifier.urihttps://hdl.handle.net/20.500.14394/34184
dc.relation.ispartofPhysics Review Letters
dc.relation.urlhttps://scholarworks.umass.edu/cgi/viewcontent.cgi?article=2064&context=math_faculty_pubs&unstamped=1
dc.source.issue24
dc.source.issue104
dc.source.statuspublished
dc.subjectPhysical Sciences and Mathematics
dc.titleDiscrete Breathers in One-Dimensional Diatomic Granular Crystals
dc.typearticle
dc.typearticle
digcom.contributor.authorBoechler, N
digcom.contributor.authorTheocharis, G
digcom.contributor.authorJob, S
digcom.contributor.authorisAuthorOfPublication|email:kevrekid@math.umass.edu|institution:University of Massachusetts - Amherst|Kevrekidis, PG
digcom.identifiermath_faculty_pubs/1131
digcom.identifier.contextkey1699946
digcom.identifier.submissionpathmath_faculty_pubs/1131
dspace.entity.typePublication
relation.isAuthorOfPublication97bd8a53-35a3-40f5-b764-a518420ea82b
relation.isAuthorOfPublication.latestForDiscovery97bd8a53-35a3-40f5-b764-a518420ea82b
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