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

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

2010-12-10

arxiv.org/abs/1012.2407v1

Phys. Rev. E. 82 061303 (2010)

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 10 figures

Scientific paper

10.1103/PhysRevE.82.061303

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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