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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. doi:10.1103/PhysRevLett.102.024102.

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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
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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.
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Alexander von Humboldt FoundationUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:CARprl09
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13105
Deposited By: Archive Administrator
Deposited On:21 Jan 2009 17:56
Last Modified:08 Nov 2021 22:35

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