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arXiv · 2203.08623

Scaling in Local Optimal Paths Cracks

Aurelio W. T. de Noronha·Levi R. Leite
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Abstract

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 $\beta$. 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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BibTeXRIS

Aurelio W. T. de Noronha, Levi R. Leite. 2022-03-15. Scaling in Local Optimal Paths Cracks. https://arxiv.org/abs/2203.08623

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