The nonequilibrium evolution near the phase boundary

Xiaobing Li; Yuming Zhong; Ranran Guo; Mingmei Xu; Yu Zhou; Jinghua Fu; Yuanfang Wu

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arXiv · 2305.18468

The nonequilibrium evolution near the phase boundary

Xiaobing Li·Yuming Zhong·Ranran Guo·Mingmei Xu·Yu Zhou·Jinghua Fu·Yuanfang Wu

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Abstract

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.

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Xiaobing Li, Yuming Zhong, Ranran Guo, Mingmei Xu, Yu Zhou, Jinghua Fu, Yuanfang Wu. 2023-05-29. The nonequilibrium evolution near the phase boundary. https://arxiv.org/abs/2305.18468

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