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Dark breathers in granular crystals

Chong, C. and Kevrekidis, P. G. and Theocharis, G. and Daraio, Chiara (2013) Dark breathers in granular crystals. Physical Review E, 87 (4). Art. No. 042202. ISSN 1539-3755. doi:10.1103/PhysRevE.87.042202.

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We present a study of the existence, stability, and bifurcation structure of families of dark breathers in a one-dimensional uniform chain of spherical beads under static load. A defocusing nonlinear Schrödinger equation (NLS) is derived for frequencies that are close to the edge of the phonon band and is used to construct targeted initial conditions for numerical computations. Salient features of the system include the existence of large amplitude solutions that emerge from the small amplitude solutions described by the NLS equation, and the presence of a nonlinear instability that, to the best of the authors’ knowledge, has not been observed in classical Fermi-Pasta-Ulam lattices. Finally, it is also demonstrated that these dark breathers can be detected in a physically realistic experimental settings by merely actuating the ends of an initially at rest chain of beads and inducing destructive interference between their signals.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kevrekidis, P. G.0000-0002-7714-3689
Daraio, Chiara0000-0001-5296-4440
Additional Information:© 2013 American Physical Society. Received 18 October 2012; published 8 April 2013. The authors would like to thank G. James, J. Cuevas, B. Sánchez Rey, R. Goodman, and M. A. Porter for useful discussions. C.D. acknowledges support from the National Science Foundation, Grant No. CMMI-844540 (CAREER) and No. NSF 1138702. P.G.K. gratefully acknowledges support from the US National Science Foundation under Grant No. CMMI-1000337, the US Air Force under Grant No. FA9550-12-1-0332, the Alexander von Humboldt Foundation, as well as the Alexander S. Onassis Public Benefit Foundation.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0332
Alexander von Humboldt FoundationUNSPECIFIED
Alexander S. Onassis Public Benefit FoundationUNSPECIFIED
Issue or Number:4
Classification Code:PACS: 45.70.-n, 63.20.Ry, 63.20.Pw, 46.40.-f
Record Number:CaltechAUTHORS:20130509-102231427
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Official Citation:Chong, C., P. G. Kevrekidis, et al. (2013). "Dark breathers in granular crystals." Physical Review E 87(4): 042202.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38380
Deposited By: Tony Diaz
Deposited On:10 May 2013 16:49
Last Modified:09 Nov 2021 23:37

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