六方晶格中二维运动呼吸子散射
2D mobile breather scattering in a hexagonal crystal lattice
摘要：
我们描述，第一次，完整的2D散射的长寿命的呼吸在一个模型六角晶格的原子。所选择的系统，代表一个理想化的云母模型，结合了伦纳-琼斯原子间的潜力与“蛋盒”谐波势阱表面。我们调查呼吸性能的依赖关系的比例与相互作用和现场电位的井深。高值的这个比率导致大的空间位移相邻链的原子，从而提高了准一维呼吸解决方案的二维字符。呼吸器呼吸器碰撞过程中，这种效果进一步研究以下的约束能量密度函数的时间为一组随机激发的移动呼吸器的解决方案。某些碰撞导致60 $^\circ$散射，并且移动和静止呼吸子的碰撞可以产生丰富多样的状态。
英文摘要：
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.
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