Scattering between wobbling kinks

Abstract

In this paper the scattering between a wobbling kink and a wobbling antikink in the standard ${\varphi }^4$ model is numerically investigated. The dependence of the final velocities, wobbling amplitudes and frequencies of the scattered kinks on the collision velocity and on the initial wobbling amplitude is discussed. The fractal structure becomes more intricate due to the emergence of new resonance windows and the splitting of those arising in the non-excited kink scattering. Outside this phase the final wobbling amplitude exhibits a linear dependence of the collision velocity whereas the final frequency is a decreasing function. By contrast these magnitudes are almost independent of the initial wobbling amplitude.

20 pages, 13 figures

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Cited by in corpus (35)

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• Kink-antikink collisions in the ${\varphi }^8$ model: short-range to long-range journey
• Deformations of Kink Tails
• Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
• Kink scattering in a generalized Wess-Zumino model
• Collective Coordinate Models for 2-Vortex Shape Mode Dynamics
• Excited Kinks as Quantum States
• Asymmetric scattering between kinks and wobblers
• Spectral walls in antikink-kink scattering in the ${\varphi }^6$ model
• Resonance structures in kink-antikink scattering in a quantum vacuum
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• Scattering of kinks in the $B{\phi }^4$ model
• Kink scattering in the presence of geometric constrictions
• Fermions on wobbling kinks: normal versus quasinormal 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
• Emergence of oscillons in kink-impurity interactions
• An Alternative to Collective Coordinates
• Connections between kinks with different asymptotics
• Kinks in generalized scalar field models and their scattering properties
• Families of Q-balls in a deformed $O(4)$ linear sigma model
• Wobbling kinks and shape mode interactions in a coupled two-component ${\varphi }^4$ theory
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Moduli Space for Kink Collisions with Moving Center of Mass
• Bound States and Particle Production by Breather-Type Background Field Configurations
• Vacuum state perturbed by an oscillon: composite configurations in ${\varphi }^4$ model
• Creation of Bound Half-Fermion Pairs by Solitons
• Kink dynamics in a high-order field model
• Kink scattering in a Lorentz-violating ${\varphi }^6$ model
• Negative radiation pressure in the abelian Higgs model
• Scattering between orthogonally wobbling kinks