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在碎片介质中的异质平均第一次通道时间缩放

Hyun-Myung Chun¹, Sungmin Hwang², Byungnam Kahng³

¹School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea.

Physical review letters

|December 15, 2023

概括

无序媒体的平均首次通道时间 (MFPT) 取决于站点位置,而不仅仅是距离. 一个中央"枢纽"网站影响路径,导致MFPT的交叉缩放.

科学领域:

统计物理统计物理
复杂的系统复杂的系统.
网络科学网络科学

背景情况:

平均第一次通道时间 (MFPT) 描述了无序介质上的随机步行.
在随机分数上,MFPT通常遵循权力规律与距离的缩放.

研究的目的:

调查影响MFPT扩展超出简单距离的因素.
引入和量化网站中心性在第一通道过程中的作用.

主要方法:

在无序媒体上随机步行动态的分析.
引入随机步行中心性来识别有影响力的网站 (中心).
在2D网格中对关键透集群的数值模拟.

主要成果:

MFPT的缩放受网站位置的影响,而不仅仅是距离.
一个高中心性的网站 (枢纽) 显著影响了第一次通道的时间.
MFPT表现出交叉扩展,在直接和枢纽绕行路径之间进行过渡.

结论:

网站的位置和中心性对于理解随机步行动态至关重要.
通过枢纽,MFPT扩展是直接和间接路径之间的竞争.
交叉缩放为无序媒体上的MFPT提供了更准确的模型.

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