91福利

Professor Juan Alejandro Valdivia,

Departamento de Física, Facultad de Ciencias, Universidad de Chile, Chile

Abstract: The study of traffic in cities have become an interesting field of study due to its social, economical, and political repercussions. We start by exploring in detail a simple city traffic model in which a single car travels through a sequence of traffic lights. It is found that traffic variables such as traveling time, velocity, and fuel consumption, near resonance, follow critical scaling laws and symmetry breaking. The chaotic is behavior shown to occur for a given bound in the acceleration/braking ratio, and the region in parameter space for which we observe chaotic behavior is found to be relevant for city parameters. A similar model for buses is also discussed, where it is seen the difficulty of simultaneously minimizing the travel time and predictability of the bus route. The model is extended to include car interactions, where an analogous resonant behavior is found under empty and jammed initial conditions. The resilient of the critical behavior is analyzed as we introduce perturbations, where a stochastic resonant transition is seen to occur.