Nonlinear propagating localized modes in a 2D hexagonal crystal lattice

In this paper we consider a 2D hexagonal crystal lattice model first proposed by Marín, Eilbeck and Russell in 1998. We perform a detailed numerical study of nonlinear propagating localized modes, that is, propagating discrete breathers and kinks. The original model is extended to allow for arbitrar...

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Bibliographic Details
Published in:Physica. D 2015-05, Vol.301-302, p.8-20
Main Authors: Bajars, Janis, Eilbeck, J. Chris, Leimkuhler, Benedict
Format: Article
Language:English
Subjects:
2D mobile discrete breathers
Intrinsic localized modes
Kinks
Propagating excitations
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Summary:In this paper we consider a 2D hexagonal crystal lattice model first proposed by Marín, Eilbeck and Russell in 1998. We perform a detailed numerical study of nonlinear propagating localized modes, that is, propagating discrete breathers and kinks. The original model is extended to allow for arbitrary atomic interactions, and to allow atoms to travel out of the unit cell. A new on-site potential is considered with a periodic smooth function with hexagonal symmetry. We are able to confirm the existence of long-lived propagating discrete breathers. Our simulations show that, as they evolve, breathers appear to localize in frequency space, i.e. the energy moves from sidebands to a main frequency band. Our numerical findings shed light on the open question of whether exact moving breather solutions exist in 2D hexagonal layers in physical crystal lattices. •Detailed numerical study of breathers and kinks in a 2D triangular hexagonal lattice.•Model for energy transport in a mica crystal.•Long-lived breathers observed travelling at least 106 lattice units.•New phenomena of focusing in frequency space observed.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2015.02.007