Resonant interaction of φ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient
The resonant interaction of the φ4 kink with a PT-symmetric perturbation is observed in the numerical study performed in the frame of the continuum model and with the help of a two degree of freedom collective variable model derived in PRA 89, 010102(R). The perturbation is in the form of first part...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Online Access: | https://hdl.handle.net/10356/140373 |
| _version_ | 1811682864700325888 |
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| author | Saadatmand, Danial Borisov, Denis Ivanovich Kevrekidis, Panayotis G. Zhou, Kun Dmitriev, Sergey V. |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Saadatmand, Danial Borisov, Denis Ivanovich Kevrekidis, Panayotis G. Zhou, Kun Dmitriev, Sergey V. |
| author_sort | Saadatmand, Danial |
| collection | NTU |
| description | The resonant interaction of the φ4 kink with a PT-symmetric perturbation is observed in the numerical study performed in the frame of the continuum model and with the help of a two degree of freedom collective variable model derived in PRA 89, 010102(R). The perturbation is in the form of first partial derivative in time term with a spatially periodic gain/loss coefficient. When the kink interacts with the perturbation, the kink’s internal mode is excited with the amplitude varying in time quasiperiodically. The maximal value of the amplitude was found to grow when the kink velocity is such that it travels one period of the gain/loss prefactor in nearly one period of the kink’s internal mode. It is also found that the kink’s translational and vibrational modes are coupled in a way that an increase in the kink’s internal mode amplitude results in a decrease in kink velocity. The results obtained with the collective variable method are in a good qualitative agreement with the numerical simulations for the continuum model. The results of the present study suggest that kink dynamics in open systems with balanced gain and loss can have new features in comparison with the case of conservative systems. |
| first_indexed | 2024-10-01T04:03:37Z |
| format | Journal Article |
| id | ntu-10356/140373 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:03:37Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1403732020-05-28T06:09:31Z Resonant interaction of φ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient Saadatmand, Danial Borisov, Denis Ivanovich Kevrekidis, Panayotis G. Zhou, Kun Dmitriev, Sergey V. School of Mechanical and Aerospace Engineering Science::Physics Resonant Effect φ4 Model The resonant interaction of the φ4 kink with a PT-symmetric perturbation is observed in the numerical study performed in the frame of the continuum model and with the help of a two degree of freedom collective variable model derived in PRA 89, 010102(R). The perturbation is in the form of first partial derivative in time term with a spatially periodic gain/loss coefficient. When the kink interacts with the perturbation, the kink’s internal mode is excited with the amplitude varying in time quasiperiodically. The maximal value of the amplitude was found to grow when the kink velocity is such that it travels one period of the gain/loss prefactor in nearly one period of the kink’s internal mode. It is also found that the kink’s translational and vibrational modes are coupled in a way that an increase in the kink’s internal mode amplitude results in a decrease in kink velocity. The results obtained with the collective variable method are in a good qualitative agreement with the numerical simulations for the continuum model. The results of the present study suggest that kink dynamics in open systems with balanced gain and loss can have new features in comparison with the case of conservative systems. 2020-05-28T06:09:31Z 2020-05-28T06:09:31Z 2017 Journal Article Saadatmand, D., Borisov, D. I., Kevrekidis, P. G., Zhou, K., & Dmitriev, S. V. (2018). Resonant interaction of ϕ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient. Communications in Nonlinear Science and Numerical Simulation, 56, 62-76. doi:10.1016/j.cnsns.2017.07.019 1007-5704 https://hdl.handle.net/10356/140373 10.1016/j.cnsns.2017.07.019 2-s2.0-85026657395 56 62 76 en Communications in Nonlinear Science and Numerical Simulation © 2017 Elsevier B.V. All rights reserved. |
| spellingShingle | Science::Physics Resonant Effect φ4 Model Saadatmand, Danial Borisov, Denis Ivanovich Kevrekidis, Panayotis G. Zhou, Kun Dmitriev, Sergey V. Resonant interaction of φ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient |
| title | Resonant interaction of φ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient |
| title_full | Resonant interaction of φ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient |
| title_fullStr | Resonant interaction of φ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient |
| title_full_unstemmed | Resonant interaction of φ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient |
| title_short | Resonant interaction of φ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient |
| title_sort | resonant interaction of φ4 kink with pt symmetric perturbation with spatially periodic gain loss coefficient |
| topic | Science::Physics Resonant Effect φ4 Model |
| url | https://hdl.handle.net/10356/140373 |
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