论文标题
六角形晶体晶格中的2D移动呼吸散射
2D mobile breather scattering in a hexagonal crystal lattice
论文作者
论文摘要
我们首次将长寿命呼吸器的完整2D散射在模型的六角形原子晶格中。代表云母理想化模型的选定系统将Lennard-Jones的原子间电位与“ Egg-Box”谐波电位井表面结合在一起。我们研究了呼吸特性对与相互作用和现场电位相关的井深度比的依赖性。该比率的高值导致原子相邻链中的空间位移很大，从而增强了准二维呼吸溶液的两个维度。通过遵循一组随机激发的移动呼吸溶液的限制能量密度函数，在呼吸呼吸器碰撞期间进一步研究了这种效果。某些碰撞导致60 $^\ circ $散射，移动和固定呼吸器的碰撞会产生各种州。
We describe, for the first time, the full 2D scattering of long-lived breathers in a model hexagonal lattice of atoms. The chosen system, representing an idealized model of mica, combines a Lennard-Jones interatomic potential with an "egg-box" harmonic potential well surface. We investigate the dependence of breather properties on the ratio of the well depths associated to the interaction and on-site potentials. High values of this ratio lead to large spatial displacements in adjacent chains of atoms and thus enhance the two dimensional character of the quasi-one-dimensional breather solutions. This effect is further investigated during breather-breather collisions by following the constrained energy density function in time for a set of randomly excited mobile breather solutions. Certain collisions lead to 60$^\circ$ scattering, and collisions of mobile and stationary breathers can generate a rich variety of states.
