Work

Resonance with quasinormal modes in long-range kinks’ collisions

Year: 2026

Type: article

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.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-026-15330-x

Authors: J. G. F. Campos, A. Mohammadi, T. Romanczukiewicz

Institutions: Universidade de Pernambuco, Universidade Federal de Pernambuco, Jagiellonian University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico

Award: G3822675860