We review research on the role of nonlinear coherent phenomena (e.g. breathers and kinks) in the formation of linear decorations in mica crystal. The work is based on a new model for the motion of the mica hexagonal K layer, which allows displacement of the atoms from the unit cell.With a simple piece-wise polynomial inter-particle potential, we verify the existence of localized long-lived breathers in an idealized lattice at 0 K. Moreover, our model allows us to observe long-lived localized kinks. We study the interactions of such localized modes along a lattice direction, and in addition demonstrate fully two dimensional scattering of such pulses for the first time. For large interatomic forces we observe a spreading horseshoe-shaped wave, a type of shock wave but with a breather profile.
CITATION STYLE
Bajars, J., Chris Eilbeck, J., & Leimkuhler, B. (2015). Numerical simulations of nonlinear modes in mica: Past, present and future. Springer Series in Materials Science, 221, 35–67. https://doi.org/10.1007/978-3-319-21045-2_2
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