We analyze physical spacings between locations of safety rest areas on interstates in the United States. We show normalized safety rest area spacings on major interstates exhibit Wigner surmise statistics, which align with the eigenvalue spacings for the Gaussian Unitary Ensemble from random matrix theory as well as the one-dimensional gas interactions via the Coulomb potential. We identify economic and geographic regional traits at the state level that exhibit Poissonian statistics, which become more pronounced with increased geographical obstacles in interstate travel. Other regional filters (e.g., historical or political) produced results that did not diverge substantially from the overall Wigner surmise model.
翻译:我们分析了美国州际公路上安全休息区位置之间的物理间距。研究表明,主要州际公路上标准化后的安全休息区间距呈现出维格纳猜测统计特征,这与随机矩阵理论中高斯幺正系综的特征值间距以及一维库仑势气体相互作用模型相吻合。我们识别出在州级层面存在呈现泊松统计特征的经济与地理区域特性,且随着州际旅行中地理障碍的增加,这种特征更加显著。其他区域过滤条件(如历史或政治因素)所产生的结果与整体维格纳猜测模型无显著差异。