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A Clash of Kinks: Phase shifts in colliding non-integrable solitons | | Mustafa A. Amin
; Eugene A. Lim
; I-Sheng Yang
; | | Date: |
2 Aug 2013 | | Abstract: | We derive a closed-form expression for the phase shift experienced by 1+1
dimensional kinks colliding at ultra-relativistic velocities (gamma v >> 1),
valid for arbitrary periodic potentials. Our closed-form expression is the
leading order result of a more general scattering theory of solitary waves
described in a companion paper [Amin, Lim and Yang (2013)]. This theory relies
on a small kinematic parameter 1/(gamma v) << 1 rather than a small parameter
in the Lagrangian. Our analytic results can be directly extracted from the
Lagrangian without solving the equation of motion. Based on our closed-form
expression, we prove that kink-kink and kink-antikink collisions have identical
phase shifts at leading order. | | Source: | arXiv, 1308.0605 | | Services: | Forum | Review | PDF | Favorites | |
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