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

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

2008-02-13

arxiv.org/abs/0802.1939v1

J.Phys.A41:315206,2008

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 15 figures

Scientific paper

10.1088/1751-8113/41/31/315206

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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