Resonance with quasinormal modes in long-range kinks' collisions

2025/10/06 by João G. F. Campos, Campos, J. G. F., Azadeh Mohammadi +3
Biochemistry, Genetics and Molecular Biology · #Diffusion and Search Dynamics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.2510.05311

openalex publication_date 2025/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a rational scalar field model in (1+1)-dimensions where the long-range character of the kinks is controllable. We show via numerical simulations that kinks with long-range tails on both sides can exhibit resonance windows. The resonant energy exchange mechanism occurs via the excitation of quasinormal modes, which we obtain via a spectral analysis. Additionally, we locate a resonance window in a family of ϕ¹⁰ models with long-range tails on both sides. Moreover, we propose a new algorithm for initializing long-range kink collisions, based on convection-diffusion dynamics.

Citations

• Oscillons in gapless theories
• Collisions of weakly-bound kinks in the Christ-Lee model
• Kink-antikink interactions in the double sine-Gordon equation

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