Stationary Velocity Distributions in Traffic Flows

Details Stationary Velocity Distributions in Traffic Flows Stationary Velocity Distributions in Traffic Flows

1997-08-14

arxiv.org/abs/cond-mat/9708108v1

Phys. Rev. E 56, 6680 (1997)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures, revtex

Scientific paper

10.1103/PhysRevE.56.6680

We introduce a traffic flow model that incorporates clustering and passing. We obtain analytically the steady state characteristics of the flow from a Boltzmann-like equation. A single dimensionless parameter, R=c_0v_0t_0 with c_0 the concentration, v_0 the velocity range, and 1/t_0 the passing rate, determines the nature of the steady state. When R<<1, uninterrupted flow with single cars occurs. When R>>1, large clusters with average mass ~ R^{\alpha} form, and the flux is J ~ R^{-\gamma}. The initial distribution of slow cars governs the statistics. When P_0(v) ~ v^{\mu} as v->0, the scaling exponents are \gamma=1/(\mu+2), \alpha=1/2 when \mu>0, and \alpha=(\mu+1)/(\mu+2) when \mu<0.

Affiliated with

Also associated with

No associations

Rating

Stationary Velocity Distributions in Traffic Flows does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stationary Velocity Distributions in Traffic Flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stationary Velocity Distributions in Traffic Flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257249