论文标题

建模城市公路:非物理系统的统计物理学观点

Modeling an urban highway: a statistical physics point of view for a nonphysical system

论文作者

González, Leonardo Castro, Lárraga, M. E., del Río, J. Antonio

论文摘要

如今,研究物理系统的方法正在应用于各种复杂系统的描述。特别是,可以研究热力学方法来描述许多系统的整体行为,而与精确的微观结构无关。在本文中,使用墨西哥政府发布的可用官方数据研究了一条真正的墨西哥高速公路作为蜂窝自动机系统。研究的系统是在2016年修改的Cuernavaca旁路。官方数据允许在修改之前和之后比较高速公路。由于更复杂的热力学变量(例如熵)在离散的流量模型中很难定义和测量,因此,它显示了其他更简单的变量(例如标准偏差)如何足以对系统进行完整的分析。更具体地说,它显示了如何将标准偏差视为秩序的度量。高速公路研究的结果表明,采取最小的措施(例如订购重型卡车的运输)如何减少从一端到另一端的旅行时间32 \%。否则,相对于原始系统,旅行时间实际上保持不变。

Nowadays, methodologies coming from studying physical systems are being applied to the description of a wide variety of complex systems. In particular, one can study thermodynamical methods to describe the overall behavior of many systems, independent of the precise microscopic construction. In this paper, a real Mexican highway is studied as a cellular automata system using available official data released by the Mexican Government. The system studied is the Cuernavaca bypass which was modified in 2016. Official data allows to compare the highway before and after the modifications. As more complex thermodynamic variables such as entropy is difficult to define and measure in discrete traffic models, it is shown how other more simple variables such as the standard deviation can be enough to have a complete analysis of the system. More specifically, it is shown how standard deviation can be seen as a measure of order. Results from the study of the highway show how, taking a minimal measure such as ordering the transit of heavy trucks can reduce up to 32\% the travel time from one end to another. Otherwise, travel times stays practically constant with respect to the original system.

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