Resonance structures in kink-antikink collisions in a deformed sine-Gordon model

Abstract

We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ${\varphi }^4$ model, and a ${\varphi }^6$-like model with three degenerate vacua. We find a rich variety of behaviours, including integrability breaking, resonance windows with increasingly irregular patterns, and new types of windows near the ${\varphi }^6$-like regime. False vacua, extra kink modes and kink fragmentation play important roles in the explanations of these phenomena. Our numerical studies are backed up by detailed analytical considerations.

arXiv comment40 pages, 31 figures

References in corpus (18)

• Kink-antikink collisions in the phi^6 model
• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Kink-Antikink Scattering in ϕ^4 and ϕ^6 Models
• Scattering between wobbling kinks
• Kink Moduli Spaces -- Collective Coordinates Reconsidered
• Kink Dynamics in a Parametric ${\varphi }^6$ System: A Model With Controllably Many Internal Modes
• The ${\varphi }^4$ model with the BPS preserving defect
• Could the primordial radiation be responsible for vanishing of topological defects?
• Suppression of two-bounce windows in kink-antikink collisions
• The concept of quasi-integrability: a concrete example
• The concept of quasi-integrability for modified non-linear Schrodinger models
• Collision of two kinks with inner structure
• Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions
• False vacuum decay in kink scattering
• Staccato radiation from the decay of large amplitude oscillons
• Forced Topological Nontrivial Field Configurations
• Head butting sheep: Kink Collisions in the Presence of False Vacua

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• Spontaneous Emission from Excited Quantum Kinks
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• False vacuum Skyrmions revisited
• Moduli spaces for PT-regularized solitons
• Kink scattering in a Lorentz-violating ${\varphi }^6$ model
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering