Boundary scattering in the phi^4 model

TL;DR

This paper investigates boundary scattering phenomena in the $\

Contribution

It introduces a comprehensive analysis of boundary effects in the $\

Findings

Observation of near-elastic scattering regimes

Restoration of a missing scattering window

Creation of kinks or oscillons via boundary collisions

Abstract

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