2D mobile breather scattering in a hexagonal crystal lattice
Abstract
We describe, for the first time, the full 2D scattering of long-lived breathers in a model hexagonal lattice of atoms. The chosen system, representing an idealized model of mica, combines a Lennard-Jones interatomic potential with an "egg-box" harmonic potential well surface. We investigate the dependence of breather properties on the ratio of the well depths associated to the interaction and on-site potentials. High values of this ratio lead to large spatial displacements in adjacent chains of atoms and thus enhance the two dimensional character of the quasi-one-dimensional breather solutions. This effect is further investigated during breather-breather collisions by following the constrained energy density function in time for a set of randomly excited mobile breather solutions. Certain collisions lead to 60 scattering, and collisions of mobile and stationary breathers can generate a rich variety of states.
Cite
@article{arxiv.2007.12079,
title = {2D mobile breather scattering in a hexagonal crystal lattice},
author = {J. Bajars and J. C. Eilbeck and B. Leimkuhler},
journal= {arXiv preprint arXiv:2007.12079},
year = {2021}
}
Comments
4 pages, 5 figures