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Discrete Breathers in One-Dimensional Diatomic Granular Crystals

Boechler, N. and Theocharis, G. and Job, S. and Kevrekidis, P. G. and Porter, Mason A. and Daraio, C. (2010) Discrete Breathers in One-Dimensional Diatomic Granular Crystals. Physical Review Letters, 104 (24). Art. No. 244302. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20110321-090105511

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Abstract

We 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.104.244302DOIArticle
http://prl.aps.org/abstract/PRL/v104/i24/e244302PublisherArticle
ORCID:
AuthorORCID
Kevrekidis, P. G.0000-0002-7714-3689
Daraio, C.0000-0001-5296-4440
Additional Information:© 2010 American Physical Society. Received 13 November 2009; published 18 June 2010. We thank R. Carretero-Gonzalez for useful discussions and the NSF for support (Grants No. 0825983, No. 0844540, No. 0806762, and No. 0349023).
Funders:
Funding AgencyGrant Number
NSFCMMI-0825983
NSFCMMI-0844540
NSFCMMI-0806762
NSFCMMI-0349023
Issue or Number:24
Classification Code:PACS: 45.50.Dd, 05.45.Yv, 45.70.-n, 46.40.Cd
Record Number:CaltechAUTHORS:20110321-090105511
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110321-090105511
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23000
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Mar 2011 20:35
Last Modified:09 Mar 2020 13:18

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