Relaxation dynamics and the free energy near the phase boundary of the 3D kinetic Ising model
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916920053202944 |
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| author | Guo, Ranran Li, Xiaobing Zhong, Yuming Xu, Mingmei Fu, Jinghua Wu, Yuanfang |
| author_facet | Guo, Ranran Li, Xiaobing Zhong, Yuming Xu, Mingmei Fu, Jinghua Wu, Yuanfang |
| contents | We investigate relaxation dynamics along the entire first-order phase transition line by analyzing the time evolution of the free energy landscape in the three-dimensional kinetic Ising model. Near the critical temperature $T_{\rm c}$, the free energy structure is consistent with predictions from Landau-Ginzburg theory. At temperatures far below $T_{\rm c}$, however, fine structures in pre-equilibrium configurations trap random initial states, causing a pronounced delay in equilibration - an effect we identify as ultra-slow relaxation. This phenomenon is characterized by a self-divergence of the relative variance of equilibration times, which we propose as a previously unrecognized hallmark of first-order phase transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14878 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relaxation dynamics and the free energy near the phase boundary of the 3D kinetic Ising model Guo, Ranran Li, Xiaobing Zhong, Yuming Xu, Mingmei Fu, Jinghua Wu, Yuanfang Statistical Mechanics We investigate relaxation dynamics along the entire first-order phase transition line by analyzing the time evolution of the free energy landscape in the three-dimensional kinetic Ising model. Near the critical temperature $T_{\rm c}$, the free energy structure is consistent with predictions from Landau-Ginzburg theory. At temperatures far below $T_{\rm c}$, however, fine structures in pre-equilibrium configurations trap random initial states, causing a pronounced delay in equilibration - an effect we identify as ultra-slow relaxation. This phenomenon is characterized by a self-divergence of the relative variance of equilibration times, which we propose as a previously unrecognized hallmark of first-order phase transitions. |
| title | Relaxation dynamics and the free energy near the phase boundary of the 3D kinetic Ising model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2504.14878 |