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arXiv · 2407.14479

Radiation-like Shock Waves in Kink Scattering

Xiang Li·Lingxiao Long
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Abstract

We study the radiation in kink collision via a model that varies between $\phi^6$ theory and $\phi^2$ 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.

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Xiang Li, Lingxiao Long. 2024-07-19. Radiation-like Shock Waves in Kink Scattering. https://arxiv.org/abs/2407.14479

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