6533b85dfe1ef96bd12bde84
RESEARCH PRODUCT
Two-dimensional mobile breather scattering in a hexagonal crystal lattice.
Benedict LeimkuhlerJ. Chris EilbeckJanis Bajarssubject
PhysicsBreatherHexagonal crystal systemScatteringInteratomic potential01 natural sciencesMolecular physics010305 fluids & plasmasExcited stateLattice (order)0103 physical sciencesHexagonal latticeMica010306 general physicsNonlinear Sciences::Pattern Formation and Solitonsdescription
We describe the full two-dimensional 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 with 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 degree scattering, and collisions of mobile and stationary breathers can generate a rich variety of states.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-02-18 | Physical review. E |