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Kink dynamics in a high-order field model

2023/10/19 by Marjaneh, Aliakbar Moradi, Gani, Vakhid A., Ghaani, Azam +3
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Pattern Formation and Solitons (nlin.PS)

paper · doi:10.48550/arxiv.2310.12957

Abstract

We study various properties of topological solitons (kinks) of a field-theoretic model with a polynomial potential of the twelfth degree. This model is remarkable in that it has several topological sectors, in which kinks have different masses. We obtain asymptotic estimates for the kink-antikink and antikink-kink interaction forces. We also study numerically kink-antikink and antikink-kink collisions and observe a number of interesting phenomena: annihilation of a kink-antikink pair in one topological sector and the production in its place of a pair in another sector; resonance phenomena -- escape windows, despite the absence of vibrational modes in the kink excitation spectra.

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