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Discrete breathers at the interface between a diatomic and a monoatomic granular chain

Hoogeboom, C. and Theocharis, G. and Kevrekidis, P. G. (2010) Discrete breathers at the interface between a diatomic and a monoatomic granular chain. Physical Review E, 82 (6). Art. No. 061303. ISSN 1539-3755. https://resolver.caltech.edu/CaltechAUTHORS:20110302-102608441

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Abstract

In the present work, we develop a systematic examination of the existence, stability, and dynamical properties of a discrete breather at the interface between a diatomic and a monoatomic granular chain. We remarkably find that such an “interface breather” is more robust than its bulk diatomic counterpart throughout the gap of the linear spectrum. The latter linear spectral gap needs to exist for the breather state to arise and the relevant spectral conditions are discussed. We illustrate the minimal excitation conditions under which such an interface breather can be “nucleated” and analyze its apparently weak interaction with regular highly nonlinear solitary waveforms.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevE.82.061303DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevE.82.061303PublisherUNSPECIFIED
http://pre.aps.org/abstract/PRE/v82/i6/e061303PublisherUNSPECIFIED
ORCID:
AuthorORCID
Kevrekidis, P. G.0000-0002-7714-3689
Additional Information:© 2010 The American Physical Society. Received 23 August 2010; published 10 December 2010. This work has been supported from “A. S. Onassis” Foundation, Grant No. RZG 003/2010-2011 G.T. and P.G.K.. P.G.K. gratefully acknowledges support from the National Science Foundation through Grants NSF-DMS-0349023 CAREER, NSF-DMS-0806762, and the Alexander von Humboldt Foundation. The authors acknowledge numerous enlightening discussions with Professor Chiara Daraio, and are thankful to Professor Daraio for stimulating their interest in this research topic and for providing the preprint of 27 prior to its publication. A number of discussions at an early stage of this project with Professor Mason A. Porter are also acknowledged.
Funders:
Funding AgencyGrant Number
A. S. Onassis FoundationRZG 003/2010-2011
NSFNSF-DMS-0349023
NSF CAREERNSF-DMS-0806762
Alexander von Humboldt FoundationUNSPECIFIED
Issue or Number:6
Classification Code:PACS : 45.70.-n
Record Number:CaltechAUTHORS:20110302-102608441
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110302-102608441
Official Citation:Discrete breathers at the interface between a diatomic and a monoatomic granular chain C. Hoogeboom, G. Theocharis, and P. G. Kevrekidis Published 10 December 2010 (8 pages) 061303
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22598
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:03 Mar 2011 16:50
Last Modified:09 Mar 2020 13:18

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