Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-03
J.Phys.A40:5995-6010,2007
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 12 figures
Scientific paper
10.1088/1751-8113/40/22/016
We study the scattering properties of Sine Gordon kinks on obstructions in the form of finite size potential `wells'. We model this by making the coefficient of the $\cos(\phi)-1$ term in the Lagrangian position dependent. We show that when the kinks find themselves in the well they radiate and then interact with this radiation. As a result of this energy loss the kinks become trapped for small velocities while at higher velocities they are transmitted with a loss of energy. However, the interaction with the radiation can produce `unexpected' reflections by the well. We present two simple models which capture the gross features of this behaviour. Both involve standing waves either at the edges of the well or in the well itself.
Piette Bernard
Zakrzewski Wojtek J.
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