Since the subject of traffic dynamics has captured the interest of physicists, many surprising
effects have been revealed and explained. Some of the questions now understood are the …

We review the past decade's theoretical and experimental studies of flocking: the collective,
coherent motion of large numbers of self-propelled “particles”(usually, but not always, living …

We present a quantitative continuum theory of “flocking”: the collective coherent motion of
large numbers of self-propelled organisms. In agreement with everyday experience, our …

We present a comprehensive study of Vicsek-style self-propelled particle models in two and
three space dimensions. The onset of collective motion in such stochastic models with only …

Understanding collective properties of driven particle systems is significant for naturally
occurring aggregates and because the knowledge gained can be used as building blocks …

We investigate a simple model corresponding to particles driven in opposite directions and
interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are …

Considering a gas of self-propelled particles with binary interactions, we derive the
hydrodynamic equations governing the density and velocity fields from the microscopic …

We study a biologically inspired, inherently non-equilibrium model consisting of self-
propelled particles. In the model, particles move on a plane with a velocity of constant …

We demonstrate that a system of self-propelled particles exhibits spontaneous symmetry
breaking and self-organization in one dimension, in contrast with previous analytical …

In the present work, we studied the room evacuation problem using the social force model
introduced by Helbing and coworkers. This model allows to explore different degree of …