美国高速公路上的随机矩阵统计和安全休息区

IF 2.2 3区 物理与天体物理 Q2 MECHANICS Journal of Statistical Mechanics: Theory and Experiment Pub Date : 2024-06-25 DOI:10.1088/1742-5468/ad363d
J Cai, J Peca-Medlin and Y Wan
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引用次数: 0

摘要

我们分析了美国高速公路上安全休息区位置之间的物理间隔。我们发现,主要州际公路上的归一化安全休息区间距呈现出维格纳忖度(WS)统计,这与随机矩阵理论中高斯单元集合的特征值间距以及通过库仑势的一维气体相互作用相一致。我们确定了州一级的经济和地理区域特征,这些特征表现出泊松比(Poissonian)统计,随着州际旅行中地理障碍的增加,这些特征变得更加明显。其他区域过滤(如历史或政治)产生的结果与整个 WS 模型没有实质性差异。
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Random matrix statistics and safety rest areas on interstates in the United States
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 (WS) 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 WS model.
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来源期刊
CiteScore
4.50
自引率
12.50%
发文量
210
审稿时长
1.0 months
期刊介绍: JSTAT is targeted to a broad community interested in different aspects of statistical physics, which are roughly defined by the fields represented in the conferences called ''Statistical Physics''. Submissions from experimentalists working on all the topics which have some ''connection to statistical physics are also strongly encouraged. The journal covers different topics which correspond to the following keyword sections. 1. Quantum statistical physics, condensed matter, integrable systems Scientific Directors: Eduardo Fradkin and Giuseppe Mussardo 2. Classical statistical mechanics, equilibrium and non-equilibrium Scientific Directors: David Mukamel, Matteo Marsili and Giuseppe Mussardo 3. Disordered systems, classical and quantum Scientific Directors: Eduardo Fradkin and Riccardo Zecchina 4. Interdisciplinary statistical mechanics Scientific Directors: Matteo Marsili and Riccardo Zecchina 5. Biological modelling and information Scientific Directors: Matteo Marsili, William Bialek and Riccardo Zecchina
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