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arXiv · 2310.12957

Kink dynamics in a high-order field model

Aliakbar Moradi Marjaneh·Vakhid A. Gani·Azam Ghaani·Kurosh Javidan·Alexander A. Malnev·Oleg V. Nagornov
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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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Aliakbar Moradi Marjaneh, Vakhid A. Gani, Azam Ghaani, Kurosh Javidan, Alexander A. Malnev, Oleg V. Nagornov. 2023-10-19. Kink dynamics in a high-order field model. https://doi.org/10.1007/s00332-025-10196-x

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