论文标题
周期性$φ^{4} $模型中的扭结 - 安提金克碰撞
Kink-Antikink Collisions in the Periodic $φ^{4}$ Model
论文作者
论文摘要
我们借用了两个真空吸尘器之间的范围内的著名扭结$φ^4 $系统的潜力形式，并反复粘贴到其他范围内，以引入周期性的$φ^4 $系统。该论文致力于提供两个系统性质的比较数值研究。尽管这两个系统对于扭结解决方案非常相似，但它们通常在整个碰撞中表现出不同的行为。例如，它们具有不同的临界速度，碰撞期间的不同结果以及其准法性结构中的不同规则。他们的准骨架结构也将在受干扰的扭结碰撞中进行研究。因此，分别将三种类型的散射窗口用于内部模式的传入速度，幅度和初始阶段。此外，最后将对两个扭结和一个反kink之间的碰撞进行详细的比较研究。
We borrow the form of potential of the well-known kink-bearing $φ^4$ system in the range between its two vacua and paste it repeatedly into the other ranges to introduce the periodic $φ^4$ system. The paper is devoted to providing a comparative numerical study of the properties of the two systems. Although the two systems are quite similar for a kink (antikink) solution, they usually exhibit different behaviors throughout collisions. For instance, they have different critical velocities, different results during collisions, and a different rule in their quasi-fractal structures. Their quasi-fractal structures will be studied in the disturbed kink-antikink collisions as well. Hence, three types of scattering windows will be introduced with respect to the incoming speed, the amplitude, and initial phase of the internal mode, respectively. Moreover, a detailed comparative study of the collisions between two kinks and one antikink will be done at the end.
