Empirical equations of American domestic passenger flights for twenty-six years

Sun, Long-Long; Hu, Ya-Peng; Zhu, Cheng; Wang, Yanjun; Yao, Pei-Wen; Yang, Huijie

doi:10.1016/j.cjph.2021.09.014

Cited by 4 publications

(1 citation statement)

References 52 publications

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“…Recent years have witnessed extensive investigations of passenger air transportation systems from the perspective of statistical physics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. For example, regarding the passenger flights as particle gases and defining the quasi-thermodynamic variables, Yao et al [1] and Sun et al [2] successfully made up van der Waals-like equations for passenger flights in the United States. Nagatani [3] studied the dynamics and control of an airplane between two airports by nonlinear map models.…”

Section: Introductionmentioning

confidence: 99%

Weight distributions of American domestic passenger air transportation networks

Sun¹,

Hu²,

Zhu³

et al. 2022

J. Stat. Mech.

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The scale-free features widely concerned by previous weighted network models seemed to not be the best choice to describe the link weight distributions of passenger air transportation networks. In this paper, by introducing an exponent α to the weight evolution rule of the earliest weighted model, and considering the spatial constraints of two-dimensional distances on linking probability, we have conducted rigorous analyses leading to the exponentially truncated power-law distribution for weights: P ( w ) = A ⋅ w − α ⋅ e − B w 1 − α , where A and B are parameters, α < 1. The theoretical expression is consistent with the empirical results of the American domestic passenger flight records from 1995 to 2020. The model would be applicable to different air transportation systems and to problems in other fields.

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