Decay of bound states in a sine-Gordon equation with double well potentials
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 algebr...
| Main Authors: | , , |
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| Format: | Article |
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American Institute of Physics
2015
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| Online Access: | https://eprints.nottingham.ac.uk/30740/ |
| _version_ | 1848794048400195584 |
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| author | Ali, Amir Susanto, Hadi Wattis, Jonathan A.D. |
| author_facet | Ali, Amir Susanto, Hadi Wattis, Jonathan A.D. |
| author_sort | Ali, Amir |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:10:00Z |
| format | Article |
| id | nottingham-30740 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:10:00Z |
| publishDate | 2015 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-307402020-05-04T20:10:24Z https://eprints.nottingham.ac.uk/30740/ Decay of bound states in a sine-Gordon equation with double well potentials Ali, Amir Susanto, Hadi Wattis, Jonathan A.D. 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. American Institute of Physics 2015 Article PeerReviewed Ali, Amir, 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 http://scitation.aip.org/content/aip/journal/jmp/56/5/10.1063/1.4917284 doi:10.1063/1.4917284 doi:10.1063/1.4917284 |
| spellingShingle | Ali, Amir Susanto, Hadi Wattis, Jonathan A.D. Decay of bound states in a sine-Gordon equation with double well potentials |
| title | Decay of bound states in a sine-Gordon equation with double well potentials |
| title_full | Decay of bound states in a sine-Gordon equation with double well potentials |
| title_fullStr | Decay of bound states in a sine-Gordon equation with double well potentials |
| title_full_unstemmed | Decay of bound states in a sine-Gordon equation with double well potentials |
| title_short | Decay of bound states in a sine-Gordon equation with double well potentials |
| title_sort | decay of bound states in a sine-gordon equation with double well potentials |
| url | https://eprints.nottingham.ac.uk/30740/ https://eprints.nottingham.ac.uk/30740/ https://eprints.nottingham.ac.uk/30740/ |