竞争平衡模型对外部领域的反应
Farideh Oloomi1, Amir Kargaran1, Ali Hosseiny1
1Department of Physics, Shahid Beheshti University, Tehran, Iran.
PloS one
|August 4, 2023
概括
本研究探讨了竞争平衡模型,揭示了外部领域如何影响网络演变. 外界场可以转移网络范式,导致偏磁或铁磁反应,在后者中观察到歇斯底里.
科学领域:
- 网络科学 网络科学
- 社会物理学的社会物理.
- 计算社会科学 计算社会科学
背景情况:
- 竞争平衡模型扩展结构平衡理论来解释网络异质性.
- 网络中的友和敌意可以基于不同的范式 (例如,政治,宗教).
- 该模型的哈密尔顿式最初在范式之间是对称的.
研究的目的:
- 调查外部场对竞争平衡模型网络演变的影响.
- 分析外部场如何破坏系统对称性并诱导范式转移.
- 了解温度和随机性在网络动态中的作用.
主要方法:
- 对竞争平衡模型的平均场解决方案的推导.
- 使用蒙特卡洛模拟验证分析解决方案.
- 对系统对外部电场和温度的反应 (偏磁/铁磁) 的分析.
主要成果:
- 外界场打破了模型的对称性,使得范式的转变.
- 该网络会根据温度对外部场产生偏磁性或铁磁性反应.
- 在铁磁体制中观察到歇斯底里,这表明社区对变化的抵抗力.
- 网络易感性遵循库里定律,类似于磁性系统.
结论:
- 外部领域对于推动竞争网络的范式转变至关重要.
- 了解随机行为是网络演变中的能源效率的关键.
- 该模型提供了对社区形成,稳定性和对外部影响的反应的见解.
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