论文标题
孤独的波浪台球
Solitary wave billiards
论文作者
论文摘要
在目前的工作中，我们探讨了孤独的波台球的概念。即，我们在封闭区域中检查了一个孤立波，而不是点粒子，并探索了其与边界的碰撞和所得的轨迹，而对于粒子台球的情况是可集成的，并且对于已知是混乱的情况。一个主要的结论是，即使在经典粒子台球是可以整合的情况下，孤立的波台球也通常被认为是混乱的。但是，所产生的混沌性程度取决于粒子速度和电势的性质。此外，可变形孤立波粒子散射的性质是根据负鹅孔施氏效应阐明的，除了轨迹偏移外，这还导致台球域的有效收缩。
In the present work we explore the concept of solitary wave billiards. I.e., instead of a point particle, we examine a solitary wave in an enclosed region and explore its collision with the boundaries and the resulting trajectories in cases which for particle billiards are known to be integrable and for cases that are known to be chaotic. A principal conclusion is that solitary wave billiards are generically found to be chaotic even in cases where the classical particle billiards are integrable. However, the degree of resulting chaoticity depends on the particle speed and on the properties of the potential. Furthermore, the nature of the scattering of the deformable solitary wave particle is elucidated on the basis of a negative Goos-Hänchen effect which, in addition to a trajectory shift, also results in an effective shrinkage of the billiard domain.
