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巴克斯特-伍模型的缓慢火动力学
Chen Tang1, Konstantinos Sfairopoulos2,3, Wanzhou Zhang4
1Anhui University of Technology, School of Microelectronics & Data Science, Maanshan 243002, China.
Physical review. E
|September 16, 2025
概括
研究用缓慢灭的Baxter-Wu模型显示,虽然Kibble-Zurek (KZ) 机制解释了初始缺陷形成,但随后的动态偏离. 该系统在加热和冷却过程中表现出独特的缩放行为,与简单的粗化模型不同.
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
- 动态系统 动态系统
背景情况:
- 巴克斯特-伍模型是统计力学中的一个重要模型.
- 了解在相位转换过程中缺陷的形成至关重要.
- 基布尔-祖雷克 (KZ) 机制描述了在关键点之间灭的系统中缺陷的产生.
研究的目的:
- 为了研究在低温火下Baxter-Wu模型的动态特性.
- 在冷却和加热过程中分析过多缺陷密度的缩放行为.
- 将观察到的动态与基布尔-祖雷克机制和粗化动态的预测进行比较.
主要方法:
- 蒙特卡洛模拟被用来建模巴克斯特-伍系统.
- 通过逐渐调节温度来模拟缓慢的火 (冷却和加热).
- 追踪过度缺陷密度以分析缩放行为并与理论预测进行比较.
主要成果:
- 在冷却过程中,关键区域的过量缺陷密度缩放与基布尔-祖雷克 (KZ) 机制保持一致.
- 在后冲动状态下,缺陷密度衰变偏离了简单的KZ和粗化动态,表现出功率定律行为.
- 在从基本状态加热过程中,KZ指数与冷却场景相匹配,但具有指数衰减的交叉模式先于亚底式模式.
- 来自非接地有序状态的加热显示了缩放,但指数偏离了KZ预测.
结论:
- 基布尔-祖雷克机制准确地描述了在缓慢火下巴克斯特-伍模型中的初始缺陷形成.
- 脉冲模式后的系统动态,特别是在非地面状态的冷却和加热过程中,表现出现有理论无法完全解释的复杂行为.
- 在加热过程中确定了具有指数衰变的明显交叉模式,突出显示了非微不足道的脉冲后动态.
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