多项式自相互作用标量场模型中孤立波的激发谱
Excitation spectra of solitary waves in scalar field models with polynomial self-interaction
摘要：
本文研究了（1+1）维八次多项式自相互作用标量模型中孤立波的激发。我们进行数值研究的散射的两个扭结的指数渐近彼此和分析发生的共振现象。我们将这些现象与碰撞扭结的平移和振动模式之间的能量交换联系起来。我们还指出，两个扭结之间的相互作用具有幂律渐近性，可以导致两个扭结之间的长程相互作用。
英文摘要：
We study excitations of solitary waves -- the kinks -- in scalar models with degree eight polynomial self-interaction in (1+1) dimensions. We perform numerical studies of scattering of two kinks with an exponential asymptotic off each other and analyse the occurring resonance phenomena. We connect these phenomena to the energy exchange between the translational and the vibrational modes of the colliding kinks. We also point out that the interaction of two kinks with power-law asymptotic can lead to a long-range interaction between the two kinks.
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