Journal
PHYSICAL REVIEW E
Volume 87, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.87.042202
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Funding
- National Science Foundation [CMMI-844540, NSF 1138702]
- NSFUS National Science Foundation [CMMI-1000337]
- US Air Force [FA9550-12-1-0332]
- Alexander von Humboldt Foundation
- Alexander S. Onassis Public Benefit Foundation
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1000337] Funding Source: National Science Foundation
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0844540] Funding Source: National Science Foundation
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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 Schrodinger 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. DOI: 10.1103/PhysRevE.87.042202
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