Chapter

Quodons in Mica

Volume 221 of the series Springer Series in Materials Science pp 35-67

Date:

Numerical Simulations of Nonlinear Modes in Mica: Past, Present and Future

  • Janis BajarsAffiliated withCollege of Arts and Science, School of Science & Technology, Nottingham Trent University Email author 
  • , J. Chris EilbeckAffiliated withMaxwell Institute and Department of Mathematics, Heriot-Watt University
  • , Ben LeimkuhlerAffiliated withMaxwell Institute and School of Mathematics, University of Edinburgh

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Abstract

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.

Keywords

ILM Breather Kink 2D crystals