Radial sine-Gordon kinks as sources of fast breathers.
Radial sine-Gordon kinks as sources of fast breathers.
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径向正弦戈登扭结是快速呼吸的来源。
DOI：
10.1103/physreve.88.022915
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
M. Soerensen
中科院分区：
文献类型：
--
作者：
J. Caputo;M. Soerensen
我们考虑径向正弦戈登扭结在二维，三维和更高的维度。一个完整的二维模拟表明，方位角扰动仍然很小，使我们能够减少问题的一维径向sine-Gordon方程。我们在区间[r（0），r（1）]上求解这个方程，并吸收所有的出射辐射。在碰撞之前，当扭结向r（0）收缩时，它的运动可以用一个从能量守恒导出的简单定律很好地描述。在二维情况下，当r（0）≤2时，碰撞将扭结分解为一个快速呼吸子，而当r（0）≥4时，我们得到一个扭结-呼吸子亚稳态，在这个亚稳态中，呼吸子在每次扭结返回时脱落。“在三维和更高的维度d中，对于小的r（0），出现了额外的扭结态。在应用方面，扭结分解为新型太赫兹微波发生器开辟了道路。
We consider radial sine-Gordon kinks in two, three, and higher dimensions. A full two-dimensional simulation showing that azimuthal perturbations remain small allows us to reduce the problem to the one-dimensional radial sine-Gordon equation. We solve this equation on an interval [r(0),r(1)] and absorb all outgoing radiation. As the kink shrinks toward r(0), before the collision, its motion is well described by a simple law derived from the conservation of energy. In two dimensions for r(0)≤2, the collision disintegrates the kink into a fast breather, while for r(0)≥4 we obtain a kink-breather metastable state where breathers are shed at each kink "return." In three and higher dimensions d, an additional kink-oscillon state appears for small r(0). On the application side, the kink disintegration opens the way for new types of terahertz microwave generators.