Dynamics of Multi-kinks in the Presence of Wells and Barriers

Goatham, S.W. and Mannering, L.E. and Hann, R. and Krusch, Steffen (2011) Dynamics of Multi-kinks in the Presence of Wells and Barriers. Acta Physica Polonica B, 42 (10). pp. 2087-2106. ISSN 0587-4254. (Full text available)

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http://dx.doi.org/10.5506/APhysPolB.42.2087

Abstract

Sine-Gordon kinks are non-dispersive solutions in a much studied integrable system. 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.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Steffen Krusch
Date Deposited: 30 Nov 2011 16:26
Last Modified: 02 Dec 2011 12:29
Resource URI: http://kar.kent.ac.uk/id/eprint/28510 (The current URI for this page, for reference purposes)
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