论文标题
空间各向异性网络的渗透
Percolation on spatial anisotropic networks
论文作者
论文摘要
许多现实的系统（例如基础设施）以空间结构和各向异性对齐为特征。在这里，我们通过引入一个控制空间网络中各向异性强度的参数来提出和研究用于处理此类特征的模型。该参数被添加到用于描述空间约束下网络的现有各向同性模型中，从而将空间模型推广到考虑空间和各向异性特征。我们通过使用渗透过程研究了此类网络的韧性，并发现各向异性对网络的鲁棒性有负面影响。此外，我们的结果表明，该模型中的各向异性不会影响相关长度的关键指数$ν$，该指数与2D同型晶格中已知的$ν$保持不变。
Many realistic systems such as infrastructures are characterized by spatial structure and anisotropic alignment. Here we propose and study a model for dealing with such characteristics by introducing a parameter that controls the strength of the anisotropy in the spatial network. This parameter is added to an existing isotropic model used to describe networks under spatial constraints, thus generalizing the spatial model to take into account both spatial and anisotropic features. We study the resilience of such networks by using a percolation process and find that anisotropy has a negative impact on a network's robustness. In addition, our results suggest that the anisotropy in this model does not affect the critical exponent of the correlation length, $ν$, which remains the same as the known $ν$ in 2D isotropic lattices.
