局部最优路径裂纹的尺度
Scaling in Local Optimal Paths Cracks
摘要：
局部裂缝如何对全球裂缝景观做出贡献是几个科学主题的目标，例如，瓶颈如何影响城市交通的稳健性？在一个方向上，从级联故障到网络的裂缝产生使用修改后的最优路径开裂（OPC）模型提出的Andrade等\cite{Andrade2009}。在这个模型中，我们打破了最大能量的链接，从两个网站之间的最佳路径与内部（欧几里德）的距离$l$在网络的线性大小$L$。该网络的每个链接具有与幂律成比例的能量值，该幂律可以使用无序$β$的参数来控制。使用有限尺寸标度和指数从渗流理论，我们发现，质量的局部最优路径上的裂纹链接的规模与幂律$l^{0.4}$作为一个可分离的方程从$L$，可以是独立的无序参数。
英文摘要：
How local cracks can contribute to the global cracks landscape is a goal of several scientific topics, for example, how bottlenecks can impact the robustness of traffic into a city? In one direction, cracks from cascading failures into networks were generated using a modified Optimal Path-Cracking (OPC) model proposed by Andrade et al \cite{Andrade2009}. In this model, we broke links of maximum energies from optimal paths between two sites with internal (euclidean) distances $l$ in networks with linear size $L$. Each link of this network has an energy value that scales with a power-law that can be controlled using a parameter of the disorder $β$. Using finite-size scaling and the exponents from percolation theory we found that the mass of the cracked links on local optimal paths scales with a power-law $l^{0.4}$ as a separable equation from $L$ and that can be independent of the disorder parameter.
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