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Time lags in evacuation in the social force model 
Przemysław Gawroński , Krzysztof Kułakowski 
AGH University of Science and Technology, Faculty of Physics and Applied Computer Science (AGH), Mickiewicza 30, Kraków 30059, Poland 
Abstract 
The social force model (D. Helbing et al, Nature 407 (2000) 487) is used to simulate an evacuation of N=1000 persons from a room with a small exit. At the initial state, the exit is closed and the people are crowded. The desired velocity is chosen to be 3 m/s, i.e. higher than its optimal value. During the simulation, the data are gathered on the time lags between instants when subsequent persons cross the exit. We observe at least two phases of the evacuation process, where the mean length of these time lags initially decreases with the number of people in the room, then increases. This can be interpreted as a crossover between a clogged phase and a laminar phase. In the clogged phase, the probability distribution of the time lags shows a maximum near 0.3 s and a powerlike tail. 
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