在第一阶段相位过渡线附近的放松行为
Xiaobing Li1,2, Ranran Guo1, Mingmei Xu1
1Central China Normal University, Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Wuhan 430079, China.
Physical review. E
|August 1, 2025
概括
对3D动态Ising模型的模拟揭示了沿一阶相位过渡线的超慢放松动态. 动态缩放在不同温度下保持,在低温下动态指数更大.
科学领域:
- 统计力学 统计力学
- 凝聚物质物理学 凝聚物质物理学
- 计算物理 计算物理
背景情况:
- 动力伊辛格模型描述了磁系统的时间依赖行为.
- 了解放松动态对于阶段过渡至关重要.
研究的目的:
- 模拟和分析3D动态Ising模型的放松过程.
- 调查平衡时间和在相位边界上的动态缩放.
主要方法:
- 大都会算法用于模拟放松过程.
- 对平均平衡时间和自相关时间的分析.
- 对系统大小的动态缩放的研究.
主要成果:
- 平均平衡时间随着温度从T_{c}下降而显著增加.
- 在第一阶段过渡线 (1st-PT) 沿线观察到超慢放松.
- 动态缩放在T_{c}附近和T≪T_{c}时保持,在较低的温度下动态指数更大.
- 自相关时间仅在T_{c}附近是大小依赖的.
结论:
- 1st-PT线附近的复杂的自由能源景观导致极其缓慢的放松动态.
- 动态缩放行为在不同的温度调节中是稳健的.
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