在二维波茨模型中,额外的第三阶转换的几何性质
Wei Liu1, Xin Zhang1, Lei Shi1
1Xi'an University of Science and Technology, College of Sciences, Xi'an 710054, People's Republic of China.
这项研究证实了使用几何顺序参数的q状态波茨模型中的高阶转换. 孤立的旋转可靠地信号第三顺序的过渡,而集群周围线则表明它们在第一顺序的过渡中不存在.
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
背景情况:
- q状态波茨模型是统计力学的一个基本模型.
- 了解更高阶相变对于描述复杂系统至关重要.
研究的目的:
- 在q状态波特斯模型 (q≥3) 中研究更高阶过渡信号.
- 为了评估几何顺序参数的有效性:孤立的旋转数和平均集群周长.
主要方法:
- 使用正典乐团框架. 使用正典乐团框架.
- 应用几何顺序参数:孤立旋转数和平均集群周长.
- 将结果与微规范转折点分析进行比较.
主要成果:
- 孤立旋转的数量可靠地表明第三阶级的独立过渡,在各种过渡顺序和更高的q值中持续存在.
- 集群的平均周长信号是第三顺序的依赖过渡,但在第一顺序的过渡中,这个信号在q=6和q=8消失.
- 结果与微规范的拐点分析一致,证实了几何顺序参数方法的稳定性.
结论:
- 在q状态波茨模型中存在更高阶的转换.
- 孤立旋转数是第三阶级独立过渡的强有力的指标.
- 平均集群周长是第三顺序依赖过渡的敏感指标,特别是将它们与第一顺序过渡区分开来.
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