由于一个分支-合并结构在一个简单的网络的排除过程的元稳定性
Hiroki Yamamoto1, Daichi Yanagisawa2, Katsuhiro Nishinari2,3
1School of Medicine, Hirosaki University, 5 Zaifu-cho Hirosaki city, Aomori 036-8562, Japan.
Physical review. E
|November 18, 2023
概括
我们使用一个简单的排除过程来研究网络元稳定性. 我们发现了可能导致系统崩的关键临界点,为分支-合并网络动态提供了洞察力.
科学领域:
- 网络科学 网络科学
- 统计力学就是统计力学.
- 复杂的系统复杂的系统.
背景情况:
- 分支-合并网络结构在各种系统中很常见.
- 在许多复杂系统中,元稳定性是关键的现象.
- 了解网络动态需要分析融合点的行为.
研究的目的:
- 为了研究一个简单的分支-合并网络中的元稳定性.
- 分析冲突在融合点的影响.
- 为了确定导致元稳定性崩的关键条件.
主要方法:
- 使用完全不对称的简单排除过程 (TASEP).
- 分析周期性和开放边界条件.
- 采用分析方法来确定临界点.
主要成果:
- 该系统在两种边界条件下都表现出元稳定性.
- 在开放边界下观察到两种类型的转移稳定性 (hysteresis和nonergodic阶段).
- 分析确定转移稳定性崩的临界点.
结论:
- 分支-合并结构可以诱导转移稳定性.
- 倾斜点对于理解系统稳定性至关重要.
- 结果为各种网络系统提供了适用于各种网络系统的见解.
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