对于吸引力哈密尔顿平均场模型的表征的变换
Melissa G Fuentealba1, Danilo M Rivera1, Roberto E Navarro1
1Universidad de Concepción, Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Concepción 4070386, Chile.
Physical review. E
|August 1, 2025
概括
哈密尔顿的平均场模型.
科学领域:
- 统计力学就是统计力学.
- 复杂的系统复杂的系统.
背景情况:
- 哈密尔顿平均场 (HMF) 模型表现出远程相互作用和近静态状态 (QSS).
- 传统上,QSS被按磁化 (M0) 和能量 (u0) 进行分类,具有超出平衡的相位过渡.
- 磁化波动为QSS动态提供了额外的见解.
研究的目的:
- 在HMF模型中描述磁化波动的动态特性.
- 调查波动复杂性和QSS属性之间的关系.
- 分析初始能量 (u0) 和磁化 (M0) 在确定QSS动态中的作用.
主要方法:
- 利用变 (H) 和统计复杂性 (C) 来分析磁化波动.
- 用功率定律光谱 (k噪声) 将HMF模型动态与随机过程进行比较.
- 研究了H和C如何随着初始能量 (u0) 和初始磁化 (M0) 的变化而变化.
主要成果:
- 高磁频磁化波动比纯粹的随机过程具有更多的结构.
- 在H和C的全球最小值与分离磁化和非磁化QSS的临界能量 (u*) 保持一致.
- 磁化QSS (低u0) 显示有序的波动;去磁化QSS (高u0) 显示复杂的,无序的动态.
结论:
- 变和统计复杂性有效地描述了HMF模型的QSS动态.
- 波动复杂性与HMF模型中的脱离平衡阶段过渡有关.
- 该研究揭示了基于波动复杂性的磁化和消磁化QSS的独特动态特征.
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