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High Energy Physics - Theory

arXiv:1708.00403 (hep-th)
[Submitted on 1 Aug 2017 (v1), last revised 1 Aug 2018 (this version, v2)]

Title:Scattering of the $φ^8$ kinks with power-law asymptotics

Authors:Ekaterina Belendryasova, Vakhid A. Gani
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Abstract:We study the scattering of the $\varphi^8$ kinks off each other, namely, we consider those $\varphi^8$ kinks that have power-law asymptotics. The slow power-law fall-off leads to a long-range interaction between the kink and the antikink. We investigate how the scattering scenarios depend on the initial velocities of the colliding kinks. In particular, we observe the `escape windows' -- the escape of the kinks after two or more collisions, explained by the resonant energy exchange between the translational and vibrational modes. In order to elucidate this phenomenon, we also analyze the excitation spectra of a solitary kink and of a composite kink+antikink configuration.
Comments: 26 pages, 8 figures; v2: minor changes to match version published in Communications in Nonlinear Science and Numerical Simulation
Subjects: High Energy Physics - Theory (hep-th); Materials Science (cond-mat.mtrl-sci); Mathematical Physics (math-ph); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:1708.00403 [hep-th]
  (or arXiv:1708.00403v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1708.00403
Journal reference: Commun. Nonlinear Sci. Numer. Simulat. 67 (2019) 414
Related DOI: https://doi.org/10.1016/j.cnsns.2018.07.030

Submission history

From: Vakhid Gani [view email]
[v1] Tue, 1 Aug 2017 16:02:55 UTC (2,283 KB)
[v2] Wed, 1 Aug 2018 06:33:44 UTC (2,219 KB)
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