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arXiv · 1508.02329

Boundary scattering in the phi^4 model

Patrick Dorey·Aliaksei Halavanau·James Mercer·Tomasz Romanczukiewicz·Yasha Shnir
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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.

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Patrick Dorey, Aliaksei Halavanau, James Mercer, Tomasz Romanczukiewicz, Yasha Shnir. 2015-08-10. Boundary scattering in the phi^4 model. https://arxiv.org/abs/1508.02329

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