4.7 Article

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

期刊

PHYSICAL REVIEW E
卷 82, 期 6, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.82.061303

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资金

  1. A. S. Onassis Foundation [RZG 003/2010-2011]
  2. National Science Foundation [NSF-DMS-0349023 (CAREER), NSF-DMS-0806762]
  3. Alexander von Humboldt Foundation
  4. Div Of Civil, Mechanical, & Manufact Inn
  5. Directorate For Engineering [0969541, 1000337] Funding Source: National Science Foundation

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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.

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