Oscillating behavior within the social force model

Abstract

The social force model belongs to a class of microscopic force-based pedestrian model for which the interaction with the neighbors solely depends on the distance spacings. Yet, distance based models can lead to unrealistic oscillating behaviors with collision and negative peed (especially in 1D scenarios. With appropriate approximations we analyze the behavior of a simplified force-based model and show that with "realistic" parameter values the system oscillates.