TY - JOUR
T1 - Nonlinear propagating localized modes in a 2D hexagonal crystal lattice
AU - Bajars, Janis
AU - Eilbeck, John Christopher
AU - Leimkuhler, Benedict
N1 - "JB and BJL acknowledge the support of the Engineering and Physical Sciences Research Council which has funded this work as part of the Numerical Algorithms
and Intelligent Software Centre under Grant EP/G036136/1."
PY - 2015/5
Y1 - 2015/5
N2 - 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.
AB - 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.
KW - 2D mobile discrete breathers
KW - Intrinsic localized modes
KW - Kinks
KW - Propagating excitations
U2 - 10.1016/j.physd.2015.02.007
DO - 10.1016/j.physd.2015.02.007
M3 - Article
AN - SCOPUS:84926435666
SN - 0167-2789
VL - 301-302
SP - 8
EP - 20
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
ER -