Baek Yongjoo, Ha Meesoon, Jeong Hawoong
Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052803. doi: 10.1103/PhysRevE.87.052803. Epub 2013 May 16.
Airplane boarding process is an example where disorder properties of the system are relevant to the emergence of universality classes. Based on a simple model, we present a systematic analysis of finite-size effects in boarding time, and propose a comprehensive view of the role of sequential disorder in the scaling behavior of boarding time against the plane size. Using numerical simulations and mathematical arguments, we find how the scaling behavior depends on the number of seat columns and the range of sequential disorder. Our results show that new scaling exponents can arise as disorder is localized to varying extents.
登机过程是一个系统的无序属性与普适类的出现相关的例子。基于一个简单模型,我们对登机时间的有限尺寸效应进行了系统分析,并对顺序无序在登机时间相对于飞机大小的标度行为中的作用提出了一个全面的观点。通过数值模拟和数学论证,我们发现标度行为如何依赖于座位列数和顺序无序的范围。我们的结果表明,随着无序在不同程度上的局域化,可能会出现新的标度指数。