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arXiv math-ph/0701037math-phgr-qchep-thmath.MP
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关于Skyrmion的渐近稳定性

On asymptotic stability of the Skyrmion

Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski

摘要:

研究了Skyrme模型球对称解的渐近性态。我们表明,松弛度1孤子(称为Skyrmion)有一个普遍的形式叠加的两个效果:指数阻尼振荡(拟正规振铃)和幂律衰减(尾巴)。准正规振铃,其中占主导地位的动态中间时间,是一个线性共振效应。与此相反,多项式的尾巴,这是在后期的时候,成为发现,被证明是一个\emph{nonlinear}现象。

英文摘要:

We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal form of a superposition of two effects: exponentially damped oscillations (the quasinormal ringing) and a power law decay (the tail). The quasinormal ringing, which dominates the dynamics for intermediate times, is a linear resonance effect. In contrast, the polynomial tail, which becomes uncovered at late times, is shown to be a \emph{nonlinear} phenomenon.

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