Boundary scattering in the ${\varphi }^6$ model

Abstract

We study the non-integrable ${\varphi }^6$ model on the half-line. The model has two topological sectors. We chose solutions from just one topological sector to fix the initial conditions. The scalar field satisfies a Neumann boundary condition ${\varphi }_x\left(0,t\right)=H$. We study the scattering of a kink (antikinks) with all possible regular and stable boundaries. When $H=0$ the results are the same observed for scattering for the same model in the full line. With the increasing of $H$, sensible modifications appear in the dynamics with of the defect with several possibilities for the output depending on the initial velocity and the boundary. Our results are confronted with the topological structure and linear stability analysis of kink, antikink and boundary solutions.

32 pages, 18 figures. v2: significant extra material and new figures

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Cited by in corpus (24)

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• Explicit kinks in higher-order field theories
• Collision of two kinks with inner structure
• Wobbling double sine-Gordon kinks
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Kink-antikink collisions in the ${\varphi }^8$ model: short-range to long-range journey
• Sphalerons and resonance phenomenon in kink-antikink collisions
• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
• Resonance mediated by fermions in kink-antikink collisions
• Kink scattering in a generalized Wess-Zumino model
• Asymmetric scattering between kinks and wobblers
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• Semi-compactness and multiple oscillating pulses in kink scattering
• Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model
• Fermions on wobbling kinks: normal versus quasinormal modes
• Geometrically constrained multifield models with BNRT solutions
• Kink-antikink scattering-induced breathing bound states and oscillons in a parametrized ${\varphi }^4$ model
• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Domain wall thickness and deformations of the field model
• New twinlike models for scalar fields
• Asymmetric kink solutions of hyperbolically deformed model
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Vacuum state perturbed by an oscillon: composite configurations in ${\varphi }^4$ model
• Kink scattering in a Lorentz-violating ${\varphi }^6$ model