在阿基米德的格子和集团上,海德平衡
Krzysztof Malarz1, Maciej Wołoszyn1, Krzysztof Kułakowski1
1AGH University, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, 30-059 Kraków, Poland.
Physical review. E
|February 20, 2025
概括
这项研究探讨了热噪声网络中的海德尔平衡,发现局部拓学决定了它的行为,而不是大规模的秩序. 没有任何热噪声 (T>0) 完全平衡是不可能的.
科学领域:
- 统计物理学的统计物理.
- 网络理论 网络理论
- 计算社会科学 计算社会科学
背景情况:
- 海德平衡理论解释了社会群体的稳定性.
- 热噪声引入了系统动态中的随机性.
- 了解复杂网络中的平衡至关重要.
研究的目的:
- 在热噪声下研究海德平衡的工作函数U (T).
- 分析网络拓对平衡的影响.
- 确定实现完美的海德尔平衡的条件.
主要方法:
- 使用热浴算法进行模拟.
- 同步和异步链接更新方案的比较.
- 针对小网络集团的分析计算.
主要成果:
- 工作函数U(T) 取决于本地网络拓.
- 异步更新显示与分析结果更接近一致.
- 完美的结构平衡在T>0.0时是无法实现的.
结论:
- 局部拓,而不是宏观排序,决定了海德平衡.
- 热噪声从根本上阻止平面格子中完美的结构平衡.
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