Scattering of compactlike structures

Abstract

We investigate the collision of a new class of topological defects that tends to become compact as a control parameter increases to larger and larger values These new compactlike defects have, in general, more than one internal discrete mode depending on the value of the control parameter and, as usual, there is a critical velocity above which the defects escape after the collision. We noticed that below the critical velocity there are the windows of escape presenting fractal structure. An interesting novelty is the appearance of metastable structures with the formation of compactlike defects, maintaining a fixed distance from each other. Another new feature is the formation of boosted localized distributions of the scalar field which we called moving oscillons. These oscillons carry away almost all scalar field energy producing a complete disruption of the compactlike defects. The pattern of the moving oscillons depends on the control parameter, and becomes more complex as we increase its value. We conjecture that the new effects may be connected with the presence of more than one vibrational mode in the spectrum of the stability potential of the model under investigation.

10 pages, 10 figures

References in corpus (33)

• Oscillons: Resonant Configurations During Bubble Collapse
• Kink-antikink collisions in the phi^6 model
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• New Global Defect Structures
• Flat-top oscillons in an expanding universe
• Oscillons and Quasi-breathers in the ϕ^4 Klein-Gordon model
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink-kink and kink-antikink interactions with long-range tails
• Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
• Radiation and Relaxation of Oscillons
• Long-range interactions of kinks
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• A General Theory of Oscillon Dynamics
• Forces between Kinks and Antikinks with Long-range Tails
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Scattering of the double sine-Gordon kinks
• Multi-kink collisions in the ${\varphi }^6$ model
• From Kinks to Compactons
• Oscillon resonances and creation of kinks in particle collisions
• Multi-kink scattering in the double sine-Gordon model
• Kinks in a non-linear massive sigma model
• Could the primordial radiation be responsible for vanishing of topological defects?
• Suppression of two-bounce windows in kink-antikink collisions
• Highly interactive kink solutions
• Analytical study of kinklike structures with polynomial tails
• Creating kinks from particles
• Kink scattering in a hybrid model
• Classical transitions with the topological number changing in the early Universe
• Kink scattering in hyperbolic models
• Kink-antikink collisions for twin models
• Higher-order field theories: ${\varphi }^6$, ${\varphi }^8$ and beyond
• The collision of two-kinks revisited: the creation of kinks and lump-like defects as metastable states

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• Collective coordinates for the hybrid model
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• New twinlike models for scalar fields
• Analytical short- and long-range kink-like structures in scalar field models with polynomial interactions
• Quest for eternal oscillons
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