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

Investigation of passenger flight delays with statistical physics has been less focused by previous researchers. We consider the flights as special particles, and take quasi-thermodynamic variables to describe their van der Waals like gaseous equations. Improved from our former model, we download data of 6 more years (2015-2020) with 20 original ones (1995-2014), and redefine pressure as two average number of departure/arrival flights per airport in a given day. Therefore, we enact an empirical gaseous constant R, and get a new kind of delayor gases as the daily average delays per flight at all airports. The approach could be applied to passenger flights of any other countries and different complex systems.

Automated summary

Investigation on passenger flight delays using statistical physics methods is lacking. This study treats flights as particles and employs quasi-thermodynamic variables to describe their behavior, proposing a new model for delay gases.