Entropía de discos rígidos auto-impulsados como parámetro de orden para peatones en contraflujo

Abstract

In this paper we study the collective behavior of a counter-flow pedestrian crowd on a corridor. Individual pedestrians are modeled as self-propelled hard disks with local evasive interactions. Three walking preferences for pedestrians are considered: hurry, standard and relaxed in order to include heterogeneity into the average flow of the crowd. We have found that spatial patterns show two stages towards the walking line formation. One stage corresponds to the segregation of pedestrians due to counter-flow conditions with the subsequent formation of global lines, the so called self-organization patterns. The other stage is presented as a second process of pedestrian segregation due to different walking preferences. The temporal evolution of entropy is introduced as a measure of self-organization of the system according to an order-disorder relation. This entropy is obtained from the velocity distribution function of walking of the individual pedestrians considering an interval around the medium density of the corridor occupation.