Equilibrium distributions in thermodynamical traffic gas

We derive the exact formula for thermal-equilibrium spacing distribution of one-dimensional particle gas with repulsive potential V (r) = r (α > 0) depending on the distance r between the neighboring particles. The calculated distribution (for α = 1) is successfully compared with the highway-traffic data, which crowns the long-term searching for the analytical form of traffic clearance distributions. In addition to that, the observed correspondence is a strong support of studies applying the equilibrium statistical physics to traffic modelling. PACS numbers: 05.70-a, 05.20-y, 45.70 Vn