Asymmetric scattering between kinks and wobblers

TL;DR

This paper numerically investigates asymmetric scattering phenomena between wobblers and kinks in the $^4$ model, revealing complex fractal structures and energy transfer mechanisms in different collision scenarios.

Contribution

It introduces a detailed numerical analysis of wobblers-kinks interactions, highlighting asymmetric scattering effects and fractal velocity structures in the $^4$ model.

Findings

Destructive interference occurs during wobblers with opposite phase collisions.

Energy transfer from wobblers to kinks depends on initial conditions.

Distinct fractal patterns emerge in velocity diagrams for different scenarios.

Abstract

The asymmetric scattering between wobblers and kinks in the standard $\phi^4$ model is numerically investigated in two different scenarios. First, the collision between wobblers with opposite phase is analyzed. Here, a destructive interference between the shape modes of the colliding wobblers takes place at the impact time. The second scenario involves the scattering between a wobbler and an (unexcited) kink. In this case the energy transfer from the wobbler to the kink can be examined. The dependence of the final velocities and wobbling amplitudes of the scattered wobblers on the collision velocity and on the initial wobbling amplitude is discussed. Both situations lead to very different fractal structures in the velocity diagrams.