Travelling with/against the flow. Deterministic diffusive driven systems

Details Travelling with/against the flow. Deterministic diffusive driven systems Travelling with/against the flow. Deterministic diffusive driven systems

2008-10-13

arxiv.org/abs/0810.2205v1

Mathematics

Dynamical Systems

22 pages, 2 figures, to appear in J. Statistical Physics

Scientific paper

10.1007/s10955-008-9637-5

We introduce and study a deterministic lattice model describing the motion of an infinite system of oppositely charged particles under the action of a constant electric field. As an application this model represents a traffic flow of cars moving in opposite directions along a narrow road. Our main results concern the Fundamental diagram of the system describing the dependence of average particle velocities on their densities and the Phase diagram describing the partition of the space of particle configurations into regions having different qualitative properties, which we identify with free, jammed and hysteresis phases.

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