Resonance with quasinormal modes in long-range kinks’ collisions
Abstract
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 $$\phi ^{10}$$ ϕ 10 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.
Fields of Study & Subjects
Nonlinear Photonic Systems
Nonlinear Dynamics and Pattern Formation
Quantum chaos and dynamical systems
Publication details
- Journal / source
- The European Physical Journal C
- Publisher
- Springer Science and Business Media LLC
- Volume
- 86
- Issue
- 1
- Publication date
- 29 January 2026
- Language
- EN