Kink dynamics in a high-order field model
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866911110552092672 |
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| author | Marjaneh, Aliakbar Moradi Gani, Vakhid A. Ghaani, Azam Javidan, Kurosh Malnev, Alexander A. Nagornov, Oleg V. |
| author_facet | Marjaneh, Aliakbar Moradi Gani, Vakhid A. Ghaani, Azam Javidan, Kurosh Malnev, Alexander A. Nagornov, Oleg V. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12957 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kink dynamics in a high-order field model Marjaneh, Aliakbar Moradi Gani, Vakhid A. Ghaani, Azam Javidan, Kurosh Malnev, Alexander A. Nagornov, Oleg V. Pattern Formation and Solitons High Energy Physics - Theory 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. |
| title | Kink dynamics in a high-order field model |
| topic | Pattern Formation and Solitons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.12957 |