Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915212747079680 |
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| author | Zhong, Fan |
| author_facet | Zhong, Fan |
| contents | Kibble-Zurek scaling is the scaling of the density of the topological defects formed via the Kibble-Zurek mechanism with respect to the rate at which a system is cooled across a continuous phase transition. Recently, the density of the topological defects formed via the Kibble-Zurek mechanism was computed for a system cooled through a first-order phase transition instead of the usual continuous transitions. Here we address the problem of whether such defects generated across a first-order phase transition exhibit Kibble-Zurek scaling similar to the case in continuous phase transitions. We show that any possible Kibble-Zurek scaling for the topological defects can only be a very rough approximation due to an intrinsic field for the scaling. However, complete universal scaling for other properties does exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01064 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Is there Kibble-Zurek scaling of topological defects in first-order phase transitions? Zhong, Fan Statistical Mechanics Kibble-Zurek scaling is the scaling of the density of the topological defects formed via the Kibble-Zurek mechanism with respect to the rate at which a system is cooled across a continuous phase transition. Recently, the density of the topological defects formed via the Kibble-Zurek mechanism was computed for a system cooled through a first-order phase transition instead of the usual continuous transitions. Here we address the problem of whether such defects generated across a first-order phase transition exhibit Kibble-Zurek scaling similar to the case in continuous phase transitions. We show that any possible Kibble-Zurek scaling for the topological defects can only be a very rough approximation due to an intrinsic field for the scaling. However, complete universal scaling for other properties does exist. |
| title | Is there Kibble-Zurek scaling of topological defects in first-order phase transitions? |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2501.01064 |