We develop a simple 1D model for the scattering of an incoming particle hitting the surface of mica crystal, the transmission of energy through the crystal by a localized mode, and the ejection of atom(s) at the incident or distant face. This is the first attempt to model the experiment described by Russell and Eilbeck in 2007 (EPL, 78, 10004). Although very basic, the model shows many interesting features, for example a complicated energy dependent transition between breather modes and a kink mode, and multiple ejections at both incoming and distant surfaces. In addition, the effect of a heavier surface layer is modelled, which can lead to internal reflections of breathers or kinks at the crystal surface.
|Number of pages||12|
|Journal||Discrete and Continuous Dynamical Systems - Series S|
|Publication status||Published - 2011|
- Nonlinear vibrational modes
- coupled oscillators
Dou, Q., Cuevas, J., Eilbeck, J. C., & Russell, F. M. (2011). Breathers and kinks in a simulated crystal experiment. Discrete and Continuous Dynamical Systems - Series S, 4(5), 1107-1118. https://doi.org/10.3934/dcdss.2011.4.1107