Resonance with quasinormal modes in long-range kinks' collisions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916993042481152 |
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| author | Campos, J. G. F. Mohammadi, Azadeh Romanczukiewicz, T. |
| author_facet | Campos, J. G. F. Mohammadi, Azadeh Romanczukiewicz, T. |
| contents | We consider a rational scalar field model in (1+1)-dimensions where the long-range character of the kinks is controllable. We show via numerical simulations that kinks with long-range tails on both sides can exhibit resonance windows. The resonant energy exchange mechanism occurs via the excitation of quasinormal modes, which we obtain via a spectral analysis. Additionally, we locate a resonance window in a family of $ϕ^{10}$ models with long-range tails on both sides. Moreover, we propose a new algorithm for initializing long-range kink collisions, based on convection-diffusion dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05311 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resonance with quasinormal modes in long-range kinks' collisions Campos, J. G. F. Mohammadi, Azadeh Romanczukiewicz, T. High Energy Physics - Theory Pattern Formation and Solitons We consider a rational scalar field model in (1+1)-dimensions where the long-range character of the kinks is controllable. We show via numerical simulations that kinks with long-range tails on both sides can exhibit resonance windows. The resonant energy exchange mechanism occurs via the excitation of quasinormal modes, which we obtain via a spectral analysis. Additionally, we locate a resonance window in a family of $ϕ^{10}$ models with long-range tails on both sides. Moreover, we propose a new algorithm for initializing long-range kink collisions, based on convection-diffusion dynamics. |
| title | Resonance with quasinormal modes in long-range kinks' collisions |
| topic | High Energy Physics - Theory Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2510.05311 |