Collective behavior of particles confined in a corridor: a comparative study with and without interactions

M. L. RUBIO PUZZO; JUAN CRUZ MORENO

Buenos Aires

Conferencia; StatPhys 27 Conference; 2019

StatPhys

In many circumstances and under particular conditions, different types of living beings of different complexity (cells, bacteria, fish, birds, mammals, and even humans walking) spontaneously acquire a collective movement in swarm-like structures. This collective behavior is the result of the interaction of a large number of self-propelled particles. Its study can be tackled from the point of view of the statistical mechanics from analyzing the time evolution of the particles positions and searching the existence, determination and characterization of ordered phases in non-equilibrium systems. Besides computational physics makes it possible to simulate these swarming situations by using simple and clever models, among which we highlight two well known: Vicsek Model (VM) (particles assumes the average direction of motion of their closest neighbors distorted by the existence of a noise &eta) and Social Force Model (SFM) (particles suffer socio-psychological and granular interactions).We study the collective motion of particles in a corridor geometry --which represents pedestrians moving across a hallway-- by means of the application of the VM and a combined model VM+SFM, that involves a mixture of individual an collective behavior, in non-panic state. The comparative study between models includes the variation of the speed of the particles and noise amplitudes &eta to observe the variability of the order parameter &phi(t) (defined as the mean-velocity of the system), the time-correlation function C(t) and the correlation time parameter &tau.