Equilibrium distributions in thermodynamical traffic gas

Details Equilibrium distributions in thermodynamical traffic gas Equilibrium distributions in thermodynamical traffic gas

2006-03-14

arxiv.org/abs/cond-mat/0603375v4

J. Phys. A: Math. Theor. 40 (2007), 5813-5821

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 figures, changed content, added references

Scientific paper

10.1088/1751-8113/40/22/004

We derive the exact formula for thermal-equilibrium spacing distribution of one-dimensional particle gas with repulsive potential V(r)=r^(-a) (a>0) depending on the distance r between the neighboring particles. The calculated distribution (for a=1) is successfully compared with the highway-traffic clearance distributions, which provides a detailed view of changes in microscopical structure of traffic sample depending on traffic density. In addition to that, the observed correspondence is a strong support of studies applying the equilibrium statistical physics to traffic modelling.

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