论文标题
扭曲之间的散射
Scattering between wobbling kinks
论文作者
论文摘要
在本文中,在标准$ ϕ^4 $模型中摇摆不定的扭结与摇摆的抗链球界之间的散射进行了数值研究。讨论了最终速度,摇摆幅度和散射扭结频率对碰撞速度和初始摇摆幅度的依赖性。由于新的共振窗口的出现以及在非激发的扭结散射中产生的分裂,分形结构变得更加复杂。在此阶段之外,最终的摆动幅度表现出碰撞速度的线性依赖性,而最终频率是降低的函数。相比之下,这些幅度几乎与初始摆动幅度无关。
In this paper the scattering between a wobbling kink and a wobbling antikink in the standard $ϕ^4$ model is numerically investigated. The dependence of the final velocities, wobbling amplitudes and frequencies of the scattered kinks on the collision velocity and on the initial wobbling amplitude is discussed. The fractal structure becomes more intricate due to the emergence of new resonance windows and the splitting of those arising in the non-excited kink scattering. Outside this phase the final wobbling amplitude exhibits a linear dependence of the collision velocity whereas the final frequency is a decreasing function. By contrast these magnitudes are almost independent of the initial wobbling amplitude.