English

Boundary scattering in the phi^4 model

High Energy Physics - Theory 2017-01-11 v2 Mathematical Physics math.MP

Abstract

We study boundary scattering in the ϕ4\phi^4 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.

Keywords

Cite

@article{arxiv.1508.02329,
  title  = {Boundary scattering in the phi^4 model},
  author = {Patrick Dorey and Aliaksei Halavanau and James Mercer and Tomasz Romanczukiewicz and Yasha Shnir},
  journal= {arXiv preprint arXiv:1508.02329},
  year   = {2017}
}

Comments

pdflatex, 24 pages + 17 figures + 13 movies v2: significant extra material and new figures. Additional movies included

R2 v1 2026-06-22T10:30:15.670Z