在有限大小的适应性网络中,差异驱动的异质核化
Akash Yadav1, Jan Fialkowski2,3, Rico Berner4
1School of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram-695551, Kerala, India.
Physical review. E
|June 22, 2024
概括
这项研究揭示了适应性网络中的两个不同的阶段过渡,由合强度和适应差异驱动. 这些发现提供了对集体动力学和同步现象的见解.
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 统计物理
背景情况:
- 阶段过渡是各种自然系统中集体动态的基础.
- 对于各种科学领域来说,理解有限尺寸自适应网络中的同步是至关重要的.
研究的目的:
- 在适应性网络中研究两种不同的异质核化途径,用于相位过渡到全球同步.
- 分析时间尺度适应和合强度差异对这些转变的影响.
主要方法:
- 使用有限大小的自适应性网络模型.
- 采用异质核化来促进单阶段和多阶段相位过渡.
- 应用集体坐标方法来进行星团动态的中视镜描述.
主要成果:
- 根据集群内部核形成,确定了两种不同的相位过渡 (单步和多步).
- 证明了合强度的差异主要决定了相变的性质.
- 开发了一种捕捉多集群动态的中视镜描述,并为两个集群内集群推导了上限.
结论:
- 合强度差异是适应性网络中控制相位过渡类型的关键因素.
- 集体坐标方法有效地描述了多集群动态,导致不同的相位过渡.
- 这些发现在理解神经系统疾病和社交网络动态方面具有潜在的应用.
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