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Dissipative Solitary Waves in Granular Crystals

Carretero-González, R. and Khatri, D. and Porter, Mason A. and Kevrekidis, P. G. and Daraio, C. (2009) Dissipative Solitary Waves in Granular Crystals. Physical Review Letters, 102 (2). Art. No. 024102. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:CARprl09

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Abstract

We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion. We thereby propose a quantitatively accurate extension of the Hertzian model that encompasses dissipative effects via a discrete Laplacian of the velocities. Experiments and computations with steel, brass, and polytetrafluoroethylene reveal a common dissipation exponent with a material-dependent prefactor.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.102.024102DOIArticle
http://link.aps.org/doi/10.1103/PhysRevLett.102.024102PublisherArticle
ORCID:
AuthorORCID
Kevrekidis, P. G.0000-0002-7714-3689
Daraio, C.0000-0001-5296-4440
Additional Information:© 2009 The American Physical Society. Received 12 August 2008; published 16 January 2009. C.D. acknowledges support from NSF-CMMI 0825345, and P.G.K. acknowledges support from NSF-DMS, NSF-CAREER, and the AvH Foundation. We thank Charles Campbell for useful discussions.
Funders:
Funding AgencyGrant Number
NSFCMMI-0825345
Alexander von Humboldt FoundationUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:CARprl09
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:CARprl09
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13105
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:21 Jan 2009 17:56
Last Modified:09 Mar 2020 13:18

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