Machine learning topological defect formation
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914010790625280 |
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| author | Suzuki, Fumika Li, Ying Wai Zurek, Wojciech H. |
| author_facet | Suzuki, Fumika Li, Ying Wai Zurek, Wojciech H. |
| contents | According to the Kibble-Zurek mechanism (KZM), the density of topological defects created during a second-order phase transition is determined by the correlation length at the freeze-out time. This suggests that the final configuration of topological defects in such a transition is largely established during the impulse regime, soon after the critical point is traversed. Motivated by this, we conjecture that machine learning (ML) can predict the final configuration of topological defects based on the time evolution of the order parameter over a short interval in the vicinity of the critical point, well before the order parameter settles into the emerging new minima resulting from spontaneous symmetry breaking. Furthermore, we show that the predictability of ML also follows the power law scaling dictated by KZM. We demonstrate these using a Recurrent Neural Network. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20347 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Machine learning topological defect formation Suzuki, Fumika Li, Ying Wai Zurek, Wojciech H. Statistical Mechanics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory Computational Physics According to the Kibble-Zurek mechanism (KZM), the density of topological defects created during a second-order phase transition is determined by the correlation length at the freeze-out time. This suggests that the final configuration of topological defects in such a transition is largely established during the impulse regime, soon after the critical point is traversed. Motivated by this, we conjecture that machine learning (ML) can predict the final configuration of topological defects based on the time evolution of the order parameter over a short interval in the vicinity of the critical point, well before the order parameter settles into the emerging new minima resulting from spontaneous symmetry breaking. Furthermore, we show that the predictability of ML also follows the power law scaling dictated by KZM. We demonstrate these using a Recurrent Neural Network. |
| title | Machine learning topological defect formation |
| topic | Statistical Mechanics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory Computational Physics |
| url | https://arxiv.org/abs/2508.20347 |