Kink dynamics in a system of two coupled scalar fields in two space-time dimensions

Abstract

In this paper we examine the scattering processes among the members of a rich family of kinks which arise in a (1+1)-dimensional relativistic two scalar field theory. These kinks carry two different topological charges that determine the mutual interactions between the basic energy lumps (extended particles) described by these topological defects. Processes like topological charge exchange, kink-antikink bound state formation or kink repulsion emerge depending on the charges of the scattered particles. Two-bounce resonant windows have been found in the antikink-kink scattering processes, but not in the kink-antikink interactions.

arXiv comment23 pages, 15 figures, to be published in Physica D

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Cited by in corpus (33)

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• Scattering between wobbling kinks
• Multi-kink scattering in the double sine-Gordon model
• Reflection, transmutation, annihilation and resonance in two-component kink collisions
• Non-topological kink scattering in a two-component scalar field theory model
• Kink scattering in a hybrid model
• Spectral walls in multifield kink dynamics
• Multikink scattering in the ${\varphi }^6$ model revisited
• Collision of two kinks with inner structure
• Boundary scattering in the ${\varphi }^6$ model
• Oscillons in hyperbolic models
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Kink scattering in hyperbolic models
• Kink dynamics in the MSTB Model
• Fermionic spectral walls in kink collisions
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
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• Some Comments on BPS systems
• Kink-antikink scattering-induced breathing bound states and oscillons in a parametrized ${\varphi }^4$ model
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• Extended multi-scalar field theories in (1+1) dimensions
• Localized structures in three-field models: geometrically constrained configurations and the first-order framework
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials
• Scattering between orthogonally wobbling kinks