使用光谱方法预测协同传染的相位过渡
Zefan Wang1, Jian Gao1,2, Shengfeng Wang1
1Beijing University of Posts and Telecommunications, School of Physical Science and Technology, Beijing 100876, China.
Physical review. E
|August 19, 2025
概括
网络结构显著影响协同作用的传播. 这项研究表明,光谱方法准确地预测相位过渡,确定自身向量的异质性是爆炸性传染的关键.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 统计物理学的统计物理.
背景情况:
- 协同传染在各种系统中普遍存在.
- 网络拓学极大地影响了传染动态.
- 了解对阶段过渡的结构影响仍然是一个挑战.
研究的目的:
- 研究网络结构如何影响协同作用的传播.
- 分析异质度和相关性的作用.
- 评估用于预测相位转换的光谱方法.
主要方法:
- 使用光谱方法进行网络分析.
- 用数值模拟进行比较的光谱分析.
- 与异质平均场 (HMF) 方法进行基准测试.
主要成果:
- 光谱方法准确地预测了关键协同效应的强度.
- 自向异质性被确定为主要的结构决定因素.
- 增加的异质性增强了爆炸性过渡的临界强度.
结论:
- 频谱方法提供了对协同传染的高精度分析.
- 网络自身向量的异质性对于理解相位过渡至关重要.
- 异质程度和相关性调节爆炸性传染动态.
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