Discrete breathers at the interface between a diatomic and monoatomic granular chain
arXiv:1012.2407 · doi:10.1103/PhysRevE.82.061303
Abstract
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.
11 pages, 10 figures
References in corpus (5)
- How Hertzian solitary waves interact with boundaries in a 1-D granular medium
- Observation of surface gap solitons in semi-infinite waveguide arrays
- Highly Nonlinear Solitary Waves in Periodic Dimer Granular Chains
- Intrinsic Energy Localization through Discrete Gap Breathers in One-Dimensional Diatomic Granular Crystals
- Compactons and Chaos in Strongly Nonlinear Lattices