Asymmetric scattering between kinks and wobblers

Abstract

The asymmetric scattering between wobblers and kinks in the standard ${\varphi }^4$ 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.

19 pages, 12 figures

References in corpus (8)

• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• The ${\varphi }^4$ model with the BPS preserving defect
• Could the primordial radiation be responsible for vanishing of topological defects?
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Oscillons in hyperbolic models
• Scattering of kinks in a non-polynomial model
• Kink scattering in a generalized Wess-Zumino model

Cited by in corpus (2)

• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
• Scattering of the asymmetric ${\varphi }^6$ kinks from a $\mathcal{P}\mathcal{T}$-symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons