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<p>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.</p>

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Kink Dynamics in a High-Order Field Model

  • 期刊论文

  • 发表日期：

    2025年8月14日

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  • Aliakbar Moradi Marjaneh,
  • Vakhid A. Gani,
  • Azam Ghaani,
  • Kurosh Javidan,
  • Alexander A. Malnev,
  • Oleg V. Nagornov

摘要

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.