Scattering between orthogonally wobbling kinks

Abstract

The resonant energy transfer mechanism, responsible for the presence of fractal patterns in the velocity diagrams of kink-antikink scattering, is analyzed for a family of two-component scalar field theory models, in which the kink solutions have two shape modes (one longitudinal and one orthogonal to the kink orbit), in addition to the zero mode, and in which energy redistribution can occur among these three discrete modes. We investigate the scattering between wobbling kinks whose orthogonal shape mode is initially excited, examining how the final velocities, amplitudes, and frequencies depend on the initial excitation amplitude. The differences that this model presents with respect to the ${\varphi }^4$ model and its novel properties are highlighted. This analysis sheds light on the intricate dynamics that arise from the interplay between multiple degrees of freedom in kink scattering processes, offering insights distinct from those observed in simpler models.

20 pages, 11 figures

References in corpus (33)

• Kink-antikink collisions in the phi^6 model
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink-kink and kink-antikink interactions with long-range tails
• Long-range interactions of kinks
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Spectral Walls in Soliton Collisions
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Scattering of the double sine-Gordon kinks
• phi^4 Kinks - Gradient Flow and Dynamics
• Scattering between wobbling kinks
• Multi-kink scattering in the double sine-Gordon model
• Reflection, transmutation, annihilation and resonance in two-component kink collisions
• Resonance structures in coupled two-component ${\varphi }^4$ model
• Kink Dynamics in a Parametric ${\varphi }^6$ System: A Model With Controllably Many Internal Modes
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Interaction between kinks and antikinks with double long-range tails
• Wobbling kinks in ${\varphi }^4$ theory
• Non-topological kink scattering in a two-component scalar field theory model
• Relativistic Moduli Space for Kink Collisions
• Spectral walls in multifield kink dynamics
• Kinks from Dynamical Systems: Domain Walls in a Deformed O(N) Linear Sigma Model
• Wobbling double sine-Gordon kinks
• Kink-antikink collisions in the ${\varphi }^8$ model: short-range to long-range journey
• Fermionic spectral walls in kink collisions
• Resonantly driven wobbling kinks
• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
• Generalized MSTB Models: Structure and kink varieties
• Inclusion of radiation in the CCM approach of the ${\varphi }^4$ model
• Collective Coordinate Models for 2-Vortex Shape Mode Dynamics
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• Scattering of kinks in the $B{\phi }^4$ model
• Scattering of compact kinks
• Wobbling kinks and shape mode interactions in a coupled two-component ${\varphi }^4$ theory