Two-dimensional mobile breather scattering in a hexagonal crystal lattice

Jānis Bajārs, J. Chris Eilbeck, Benedict Leimkuhler

Research output: Contribution to journalArticlepeer-review


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∘ scattering, and collisions of mobile and stationary breathers can generate a rich variety of states.

Original languageEnglish
Article number022212
JournalPhysical Review E
Issue number2
Publication statusPublished - 18 Feb 2021

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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