2D mobile breather scattering in a hexagonal crystal lattice

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 investigat...

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Bibliographic Details
Published in:arXiv.org 2020-12
Main Authors: Bajars, J, Eilbeck, J C, Leimkuhler, B
Format: Article
Language:English
Subjects:
Breathers
Collisions
Crystal lattices
Displacements (lattice)
Flux density
Hexagonal lattice
Mica
Scattering
Two dimensional models
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Summary: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\(^\circ\) scattering, and collisions of mobile and stationary breathers can generate a rich variety of states.
ISSN:2331-8422
DOI:10.48550/arxiv.2007.12079