Dynamics of multi-kinks in the presence of wells and barriers

Details Dynamics of multi-kinks in the presence of wells and barriers Dynamics of multi-kinks in the presence of wells and barriers

2010-07-15

arxiv.org/abs/1007.2641v1

Acta Physica Polonica B vol. 42 (2011) page 2087

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 7 figures

Scientific paper

10.5506/APhysPolB.42.2087

Sine-Gordon kinks are a much studied integrable system that possesses multi-soliton solutions. Recent studies on sine-Gordon kinks with space-dependent square-well-type potentials have revealed interesting dynamics of a single kink interacting with wells and barriers. In this paper, we study a class of smooth space-dependent potentials and discuss the dynamics of one kink in the presence of different wells. We also present values for the critical velocity for different types of barriers. Furthermore, we study two kinks interacting with various wells and describe interesting trajectories such as double-trapping, kink knock-out and double-escape.

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