2024/11/07 by Santos, Jairo S., Fabiano C. Simas, Simas, Fabiano C. +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Photonic Systems #Random lasers and scattering media
paper · pdf · doi:10.48550/arxiv.2411.04343
openalex publication_date 2024/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
In this work, we investigate the dynamics of a scalar field in the nonintegrable ϕ4 model, restricted to the half-line. Here we consider singular solutions that interpolate the Dirichlet boundary condition ϕ(x=0,t)=H and their scattering with the regular kink solution. The simulations reveal a rich variety of phenomena in the field dynamics, such as the formation of a kink-antikink pair, the generation of oscillons by the boundary perturbations, and the interaction between these objects and the boundary, which causes the emergence of boundary-induced resonant scatterings (for example, oscillon-boundary bound states and kink generation by oscillon-boundary collision) founded into complex fractal structures. Linear perturbation analysis was applied to interpret some aspects of the scattering process. We detected the presence of two shape modes near the boundary. The power spectral density of the scalar field at a fixed point leads to several frequency peaks. Most of them can be explained with some interesting insights for the interaction between the scattering products and the boundary.