在无序的网格和随机网络上分散的持久性
Omar Malik1,2, Melinda Varga3, Alaa Moussawi1,2
1Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
Physical review. E
|March 16, 2024
概括
网络中的扩散性持久性取决于拓. 在二维无序网络中,持久性遵循在透值之上和在透值之上的功率规律,具有不同的指数. 随机网络缺乏简单的扩展.
科学领域:
- 统计物理 统计物理
- 网络科学 网络科学
- 复杂的系统复杂的系统.
背景情况:
- 网络中的随机过程表现出复杂的时间动态.
- 了解波动及其寿命对于网络行为至关重要.
- 扩散持久性量化了网络节点内的场的时间稳定性.
研究的目的:
- 在各种无序和随机网络中调查扩散性持久性.
- 确定网络拓如何影响波动的时间特征.
- 分析透值及以上的缩放行为和有限尺寸效应.
主要方法:
- 在二维无序网络和随机网络 (例如,Erdős-Rényi) 中对扩散性持久性的分析.
- 计算扩散性持久性作为时间和系统大小的函数的缩放指数.
- 在透值的有限尺寸效应的检查.
主要成果:
- 在透以上的二维无序网络中,扩散性持久度尺度为P(t,L)∼t^{-θ}, θ0.186.6.
- 在透值时,由于结构转变,缩放指数转移到 θ0.141.
- 在透值的有限尺寸效应显示出功率定律P{t,L) ∼L^{-zθ}与z2.86.
- 随机网络缺乏简单的权力规律扩展,超过透值.
结论:
- 网络拓学极大地影响了扩散性持久性和波动寿命.
- 透过渡显著改变了无序网络中的扩展行为.
- 无序和随机网络表现出从根本上不同的持久性动态.
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