Evacuation in the Social Force Model is not Stationary
P. Gawrońskia, K. Kułakowskia, M. Kämpfb and J. W. Kantelhardtb
a Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Poland,
b Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, Halle/Saale, Germany
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An evacuation process is simulated within the Social Force Model. Thousand pedestrians are leaving a room by one exit. We investigate the stationarity of the distribution of time lags between instants when two successive pedestrians cross the exit. The exponential tail of the distribution is shown to gradually vanish. Taking fluctuations apart, the time lags decrease in time till there are only about 50 pedestrians in the room, then they start to increase. This suggests that at the last stage the flow is laminar. In the first stage, clogging events slow the evacuation down. As they are more likely for larger crowds, the flow is not stationary. The data are investigated with detrended fluctuation analysis and return interval statistics, and no pattern transition is found between the stages of the process.
DOI: 10.12693/APhysPolA.121.B-77
PACS numbers: 89.75.Fb, 05.40.-a, 05.45.Tp, 89.40.Bb