Long-range interaction of kinks in higher-order polynomial models
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913732228022272 |
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| author | Belendryasova, Ekaterina Blinov, Petr A. Gani, Tatiana V. Malnev, Alexander A. Gani, Vakhid A. |
| author_facet | Belendryasova, Ekaterina Blinov, Petr A. Gani, Tatiana V. Malnev, Alexander A. Gani, Vakhid A. |
| contents | We obtain asymptotic estimates of the interaction forces between kink and antikink in a family of field-theoretic models with two vacua in (1+1)-dimensional space-time. In our study we consider a new class of soliton solutions previously found in our paper [Chaos, Solitons and Fractals 165 (2022) 112805]. We focus on the case of kinks having one exponential and one power-law asymptotics. We show that if the kink and antikink are faced each other with long-range tails, the force of attraction between them at large separations demonstrates a power-law decay with the distance. We also performed numerical simulations to measure the interaction force and obtained good agreement between the experimental values and theoretical estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08034 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Long-range interaction of kinks in higher-order polynomial models Belendryasova, Ekaterina Blinov, Petr A. Gani, Tatiana V. Malnev, Alexander A. Gani, Vakhid A. High Energy Physics - Theory Pattern Formation and Solitons We obtain asymptotic estimates of the interaction forces between kink and antikink in a family of field-theoretic models with two vacua in (1+1)-dimensional space-time. In our study we consider a new class of soliton solutions previously found in our paper [Chaos, Solitons and Fractals 165 (2022) 112805]. We focus on the case of kinks having one exponential and one power-law asymptotics. We show that if the kink and antikink are faced each other with long-range tails, the force of attraction between them at large separations demonstrates a power-law decay with the distance. We also performed numerical simulations to measure the interaction force and obtained good agreement between the experimental values and theoretical estimates. |
| title | Long-range interaction of kinks in higher-order polynomial models |
| topic | High Energy Physics - Theory Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2503.08034 |