Radiation-like Shock Waves in Kink Scattering

2024/07/19 by Xiang Li, Li, Xiang, Lingxiao Long +1 · 1 citation
Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Laser-Plasma Interactions and Diagnostics #Astrophysics and Cosmic Phenomena

paper · pdf · doi:10.48550/arxiv.2407.14479

Abstract

We study the radiation in kink collision via a model that varies between ϕ⁶ theory and ϕ² 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→∞ and v=1 was found by considering a certain limit of these solutions.

Cited by

• Quantum Oscillons are Long-Lived

Related

• Some Recent Developments on Kink Collisions and Related Topics
• Scattering of compact kinks
• On the kink-kink collision problem of for the ϕ⁶ model with low speed
• High energy density spots and production of kink-antikink pairs in particle collisions
• Interaction Between Kink and Radiation in ϕ⁴ Model