Radiation-like Shock Waves in Kink Scattering
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914877731241984 |
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| author | Li, Xiang Long, Lingxiao |
| author_facet | Li, Xiang Long, Lingxiao |
| contents | We study the radiation in kink collision via a model that varies between $ϕ^6$ theory and $ϕ^2$ theory with some discontinuities. Both numerical and analytical methods were used to investigate The kink-antikink(KAK) and antikink-kink(AKK) collision. In the numerical analysis, we found the critical velocities in both collisions increased with $n$. We also found a finite lifetime oscillon window in KAK collision for $n=2$. In the analytical part, we found a family of shock wave solutions that describes radiation in the kink collision perfectly. Moreover, an analytical AKK solution at $n\rightarrow\infty$ and $v=1$ was found by considering a certain limit of these solutions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_14479 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Radiation-like Shock Waves in Kink Scattering Li, Xiang Long, Lingxiao High Energy Physics - Theory Pattern Formation and Solitons We study the radiation in kink collision via a model that varies between $ϕ^6$ theory and $ϕ^2$ theory with some discontinuities. Both numerical and analytical methods were used to investigate The kink-antikink(KAK) and antikink-kink(AKK) collision. In the numerical analysis, we found the critical velocities in both collisions increased with $n$. We also found a finite lifetime oscillon window in KAK collision for $n=2$. In the analytical part, we found a family of shock wave solutions that describes radiation in the kink collision perfectly. Moreover, an analytical AKK solution at $n\rightarrow\infty$ and $v=1$ was found by considering a certain limit of these solutions. |
| title | Radiation-like Shock Waves in Kink Scattering |
| topic | High Energy Physics - Theory Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2407.14479 |