Collective dynamics of pedestrians in a corridor: An approach combining social force and Vicsek models

RUBIO PUZZO, M. LETICIA; PAUL, WOLFGANG; MORENO, JUAN CRUZ

Physical Review E

American Physical Society

Año: 2020 vol. 102

2470-0045

We study the pedestrian motion along a corridor in a nonpanic regime, as usually happens in evacuation scenarios in, e.g., schools, hospitals, or airports, by means of Monte Carlo simulations. We present a model, a combination of the well-known social force model (SFM) and Vicsek model (VM), that takes into account both model interactions, based on the relative position (SFM) and based on the velocity of the particles with some randomness (modulated by an external control parameter, the noise eta, VM), respectively. To clarify the influence of the model ingredients we have compared simulations using (a) the pure Vicsek model (VM) with two boundary conditions (periodic and bouncing back) and with or without desired direction of motion, (b) the social force model (SFM), and (c) the model (SFM+VM). The study of steady-state particle configurations in the VM with confined geometry shows the expected bands perpendicular to the motion direction, while in the SFM and SFM+VM particles order in stripes of a given width w along the direction of motion. The results in the SFM+VM case show that w (t)≃tα has a diffusivelike behavior at low noise eta (dynamic exponent α approx 1/2 ), while it is subdiffusive at high values of external noise (α