Decay of bound states in a sine-Gordon equation with double well potentials

Ali, Amir and Susanto, Hadi and Wattis, Jonathan A.D. (2015) Decay of bound states in a sine-Gordon equation with double well potentials. Journal of Mathematical Physics, 56 . 051502/1-051502/28. ISSN 1089-7658

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Abstract

We consider a spatially inhomogeneous sine-Gordon equation with a double-well potential, describing long Josephson junctions with phase-shifts. We discuss the interactions of symmetric and antisymmetric bound states in the system. Using a multiple scale expansion, we show that the modes decay algebraically in time due to the energy transfer from the discrete to the continuous spectrum. In particular, exciting the two modes at the same time yields an increased decay rate. An external time-periodic drive is shown to sustain symmetric state, while it damps the antisymmetric one.

Item Type: Article
Additional Information: Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in G. A. Gibson et al., Journal of Mathematical Physics 56, 051502 (2015) http://dx.doi.org/10.1063/1.4917284 and may be found at http://scitation.aip.org/content/aip/journal/jmp/56/5/10.1063/1.4917284.
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1063/1.4917284
Depositing User: Wattis, Jonathan
Date Deposited: 12 Nov 2015 11:28
Last Modified: 13 Sep 2016 14:34
URI: http://eprints.nottingham.ac.uk/id/eprint/30740

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