在不平衡网络中的动态相位转换
Jiazhen Liu1, Nathaniel M Aden1, Debasish Sarker1
1University of Miami, Department of Physics, Coral Gables, Florida 33146, USA.
Physical review letters
|October 31, 2025
概括
动态相位转换 (DPT) 是系统行为中的关键变化. 本研究介绍了一种最小网络模型,表明非线性相互作用会导致DPT,网络在关键时刻分歧.
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:
- 动态相位转换 (DPT) 描述了有限时间的系统行为中的关键变化,超越了平衡物理.
- 虽然在量子系统中进行了研究,但DPT在社会或金融网络等经典和复杂系统中被探索的较少.
- 经验观察表明,复杂系统的突发动态变化,需要一个理论框架.
研究的目的:
- 为不平衡网络提供一个最小的理论模型.
- 为了证明DPT的出现来自网络内的非线性相互作用.
- 为理解新出现的不平衡关键性提供理论基础.
主要方法:
- 开发一个对不平衡网络的最小模型.
- 网络动态和关键现象的分析研究.
- 分析网络属性,如程度和聚类系数.
主要成果:
- 网络边缘之间的非线性相互作用自然会诱导DPT.
- 网络的程度在有限的关键时刻分离,呈现出普遍的超标缩放.
- 关键网络属性显示系统接近关键性时的关键扩展.
结论:
- 该研究为经典复杂系统中的DPT建立了理论基础.
- 这些发现与实验观察现实世界网络突然动态变化的实证观察一致.
- 该模型提供了对不同系统中新出现的不平衡关键性的见解.
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