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Radiation-like Shock Waves in Kink Scattering
- Publication Year :
- 2024
-
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.<br />Comment: 27 pages, 68 figures
- Subjects :
- High Energy Physics - Theory
Nonlinear Sciences - Pattern Formation and Solitons
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.14479
- Document Type :
- Working Paper