Boundary scattering in the phi⁴ model

2015/08/10 by Patrick Dorey, Aliaksei Halavanau, Dorey, Patrick +7
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1508.02329

openalex publication_date 2015/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study boundary scattering in the ϕ⁴ model on a half-line with a one-parameter family of Neumann-type boundary conditions. A rich variety of phenomena is observed, which extends previously-studied behaviour on the full line to include regimes of near-elastic scattering, the restoration of a missing scattering window, and the creation of a kink or oscillon through the collision-induced decay of a metastable boundary state. We also study the decay of the vibrational boundary mode, and explore different scenarios for its relaxation and for the creation of kinks.

Related

• Half-line kink scattering in the ϕ⁴ model with Dirichlet boundary conditions
• ϕ⁴ Solitary Waves in a Parabolic Potential: Existence, Stability, and Collisional Dynamics
• Physical aspects of the deformation of ℤ₂ kinks in a generalized ϕ⁴ model
• Elastic Kink-Meson Scattering in the Φ⁴ Double-Well Model
• Asymmetric domain walls in modified ϕ⁴ theory: Excitation spectra, scattering, and decay of bions