当前位置: X-MOL 学术J. Stat. Mech. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Random walks on networks with preferential cumulative damage: generation of bias and aging
Journal of Statistical Mechanics: Theory and Experiment ( IF 2.4 ) Pub Date : 2021-06-01 , DOI: 10.1088/1742-5468/abfcb5
L K Eraso-Hernandez 1 , A P Riascos 2 , T M Michelitsch 3 , J Wang-Michelitsch 4
Affiliation  

In this paper, we explore the reduction of functionality in a complex system as a consequence of cumulative random damage and imperfect reparation, a phenomenon modeled as a dynamical process in networks. We analyze the global characteristics of the diffusive movement of random walkers on networks where the walkers hop considering the capacity of transport of each link. The links are susceptible to damage that generates bias and aging. We describe the algorithm for the generation of damage and the bias in the transport producing complex eigenvalues of the transition matrix that defines the random walker for different types of graphs, including regular, deterministic, and random networks. The evolution of the asymmetry of the transport is quantified with local information in the links and further with non-local information associated with the transport on a global scale, such as the matrix of the mean first passage times and the fractional Laplacian matrix. Our findings suggest that systems with greater complexity live longer.



中文翻译:

具有优先累积损伤的网络上的随机游走:偏差和老化的产生

在本文中,我们探讨了复杂系统中由于累积随机损坏和不完全修复而导致的功能减少,这种现象被建模为网络中的动态过程。我们分析了随机步行者在网络上的扩散运动的全局特征,其中考虑到每个链接的传输能力,步行者在其中跳跃。链接容易受到损坏,从而产生偏差和老化。我们描述了在传输过程中产生损伤和偏差的算法,产生了转换矩阵的复杂特征值,该矩阵定义了不同类型图的随机游走器,包括规则、确定性和随机网络。运输不对称的演变通过链接中的局部信息以及与全球尺度上的运输相关的非局部信息进行量化,例如平均首次通过时间的矩阵和分数拉普拉斯矩阵。我们的研究结果表明,具有更高复杂性的系统寿命更长。

更新日期:2021-06-01
down
wechat
bug