在正方形格子上有无形状态的二维波茨模型
Jae Hwan Lee1, Wanki Park2,3, Jin Min Kim1
1Soongsil University, Department of Physics and OMEG Institute, Seoul 06978, Korea.
Physical review. E
|June 19, 2025
概括
铁磁波茨模型显示,随着无形状态的增加,从第二阶段向第一阶段的阶段过渡. 这种转变是由可见旋转密度的变化所驱动的,对于q=2.2.,其临界值约为29个看不见状态.
科学领域:
- 统计力学就是统计力学.
- 凝聚物质物理学 凝聚物质物理学
- 计算物理学的计算物理.
背景情况:
- 铁磁波茨模型是统计力学的一个基本模型.
- 了解与相互作用和非相互作用组件的系统中的相位过渡至关重要.
- 研究无形状态对模型行为的影响提供了新的见解.
研究的目的:
- 为了研究二维 (q+r) 状态铁磁波特斯模型中的相位过渡.
- 为了确定分离二次阶段过渡和一次阶段过渡的临界值 (r_c), q=2.2.
- 阐明第一阶段过渡的基本机制.
主要方法:
- 使用Wang-Landau蒙特卡洛模拟方法来计算状态的密度.
- 使用Metropolis算法计算可见旋转的密度.
- 分析特定热量,分区函数零和内部能量概率分布.
主要成果:
- 对于r < r_c,发生第二阶段过渡,对于r > r_c,发生第一阶段过渡.
- 在q=2.2的临界值r_c被确定为29左右.
- 第一个阶段过渡归因于可见旋转密度的突然变化.
结论:
- 非相互作用的无形状态的数量显著改变了铁磁波茨模型中相变的性质.
- 临界值r_c ≈29标志着系统行为的明显转变.
- 可见旋转的密度是驱动第一阶段过渡的关键因素.
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