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arXiv · 1712.02846

Resonance phenomena in the $\varphi^8$ kinks scattering

Ekaterina Belendryasova·Vakhid A. Gani
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Abstract

We study the scattering of the $\varphi^8$ kinks with power-law asymptotics. We found two critical values of the initial velocity, $v_{cr}^{(1)}$ and $v_{cr}^{(2)}$, which separate different regimes of the kink-antikink collision. At the initial velocities $v_{in}< v_{cr}^{(1)}$ kinks can not collide due to repulsive force between them. At $v_{in}>v_{cr}^{(2)}$ the kinks escape to spatial infinities after one collision. In the range $v_{cr}^{(1)}\le v_{in}\le v_{cr}^{(2)}$ we observed kinks capture and formation of their bound state. Besides that, at these initial velocities we found resonance phenomena -- escape windows.

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Ekaterina Belendryasova, Vakhid A. Gani. 2017-12-07. Resonance phenomena in the $\varphi^8$ kinks scattering. https://doi.org/10.1088/1742-6596%2F934%2F1%2F012059

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