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arXiv 0802.1939hep-th
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变形Sine-Gordon模型中拓扑孤子在势垒和空穴上的散射

Scattering of Topological Solitons on Barriers and Holes of Deformed Sine-Gordon Models

Jassem H. Al-Alawi, Wojtek J. Zakrzewski

备注：
16 pages, 15 figures
发表信息：
J.Phys.A41:315206,2008
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摘要：

本文研究了Bazeia等人最近提出的两类模型中拓扑孤子的散射性质，这两类模型是Sine-Gordon模型的推广，它们依赖于一个整数参数n，当n=2（第一类）和n=1（第二类）时，这两类模型归结为Sine-Gordon模型.我们采取这些模型的孤子解决方案（广义的“扭结”解决方案的Sine-Gordon模型），并考虑其散射的潜在的空穴和障碍。我们提出了我们的结果为n=1，…6.我们发现，在正弦戈登模型一样，在障碍物上的散射是非常有弹性的，而在孔上的散射是非弹性的，有时会导致反射。我们讨论了我们的结果对n的依赖性，发现通过孔的传输的临界速度是最低的n=3。

英文摘要：

We study scattering properties of topological solitons in two classes of models, which are generalizations of the Sine-Gordon model and which have recently been proposed by Bazeia et al. These two classes of models depend on an integer parameter n which, when n=2(for the first class) and n=1 (for the second class), reduce to the Sine-Gordon model. We take the soliton solutions of these models (generalizations of the 'kink' solution of the Sine-Gordon model) and consider their scattering on potential holes and barriers. We present our results for n=1,...6. We find that, like in the Sine Gordon models, the scattering on the barrier is very elastic while the scattering on the hole is inelastic and can at times, lead to a reflection. We discuss the dependence of our results on n and find that the critical velocity for the transmission through the hole is lowest for n=3.

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