Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow.)

Details Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow.) Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow.)

2000-03-22

arxiv.org/abs/nlin/0003046v1

Nonlinear Sciences

Chaotic Dynamics

15 pages, LaTeX

Scientific paper

By means of a novel variational approach and using dual maps techniques and general ideas of dynamical system theory we derive exact results about several models of transport flows, for which we also obtain a complete description of their limit (in time) behavior in the space of configurations. Using these results we study the motion of a speedy passive particle (tracer) moving along/against the flow of slow particles and demonstrate that the latter case might be more efficient.

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