对扭结施加负辐射压力
Negative radiation pressure exerted on kinks
摘要：
研究了一维标量场理论中扭结与单色平面波的相互作用。它表明，在一个大类的模型的辐射压力施加在扭结是负的，即扭结是{ \sl拉}向辐射源。这种效应已经通过$ϕ^4$模型中的数值模拟观察到，并且通过假设入射波的振幅小的微扰计算来解释。非常重要的是，效果被证明是强大的对小扰动的$ϕ^4$模型。在sine-Gordon（sG）模型中，作用在扭结上的时间平均辐射压力为零。在SG模型中的微扰计算的结果示出与对应于叠加的SG扭结与椭圆余弦波的解析解完全一致。还证明了扭折的加速度满足牛顿定律。
英文摘要：
The interaction of a kink and a monochromatic plane wave in one dimensional scalar field theories is studied. It is shown that in a large class of models the radiation pressure exerted on the kink is negative, i.e. the kink is {\sl pulled} towards the source of the radiation. This effect has been observed by numerical simulations in the $ϕ^4$ model, and it is explained by a perturbative calculation assuming that the amplitude of the incoming wave is small. Quite importantly the effect is shown to be robust against small perturbations of the $ϕ^4$ model. In the sine-Gordon (sG) model the time averaged radiation pressure acting on the kink turns out to be zero. The results of the perturbative computations in the sG model are shown to be in full agreement with an analytical solution corresponding to the superposition of a sG kink with a cnoidal wave. It is also demonstrated that the acceleration of the kink satisfies Newton's law.
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