Radiation-like Shock Waves in Kink Scattering
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 crit...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
19.07.2024
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Subjects | |
Online Access | Get full text |
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Summary: | 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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DOI: | 10.48550/arxiv.2407.14479 |