Sphalerons and resonance phenomenon in kink-antikink collisions
C. Adam, D. Ciurla, K. Oles, T. Romanczukiewicz, A. Wereszczynski
TL;DR
This paper demonstrates that sphalerons, unstable static solutions, can induce internal modes in kink-antikink collisions, leading to resonance phenomena and fractal structures in the outcomes.
Contribution
It reveals that sphalerons act as internal degrees of freedom in kink-antikink collisions, explaining the resonance phenomena and complex fractal structures observed.
Findings
Sphalerons can serve as internal modes triggering resonance.
Resonance phenomena lead to fractal structures in collision outcomes.
Unstable solutions influence the dynamics of soliton interactions.
Abstract
We show that in some kink-antikink (KAK) collisions sphalerons, i.e., unstable static solutions - rather than the asymptotic free soliton states - can be the source of the internal degrees of freedom (normal modes) which trigger the resonance phenomenon responsible for the fractal structure in the final state formation.
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