The nonequilibrium evolution near the phase boundary
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914709959081984 |
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| author | Li, Xiaobing Zhong, Yuming Guo, Ranran Xu, Mingmei Zhou, Yu Fu, Jinghua Wu, Yuanfang |
| author_facet | Li, Xiaobing Zhong, Yuming Guo, Ranran Xu, Mingmei Zhou, Yu Fu, Jinghua Wu, Yuanfang |
| contents | Using the single-spin flipping dynamics, we study the nonequilibrium evolution near the entire phase boundary of the 3D Ising model, and find that the average of relaxation time (RT) near the first-order phase transition line (1st-PTL) is significantly larger than that near the critical point (CP). As the system size increases, the average of RT near the 1st-PTL increases at a higher power compared to that near the CP. We further show that RT near the 1st-PTL is not only non-self-averaging, but actually self-diverging: relative variance of RT increases with system size. The presence of coexisting and metastable states results in a substantial increase in randomness near the 1st-PTL, and therefore makes the equilibrium more difficult to achieve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_18468 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The nonequilibrium evolution near the phase boundary Li, Xiaobing Zhong, Yuming Guo, Ranran Xu, Mingmei Zhou, Yu Fu, Jinghua Wu, Yuanfang Statistical Mechanics High Energy Physics - Phenomenology Using the single-spin flipping dynamics, we study the nonequilibrium evolution near the entire phase boundary of the 3D Ising model, and find that the average of relaxation time (RT) near the first-order phase transition line (1st-PTL) is significantly larger than that near the critical point (CP). As the system size increases, the average of RT near the 1st-PTL increases at a higher power compared to that near the CP. We further show that RT near the 1st-PTL is not only non-self-averaging, but actually self-diverging: relative variance of RT increases with system size. The presence of coexisting and metastable states results in a substantial increase in randomness near the 1st-PTL, and therefore makes the equilibrium more difficult to achieve. |
| title | The nonequilibrium evolution near the phase boundary |
| topic | Statistical Mechanics High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2305.18468 |