1 1 A pr 2 00 7 Equilibrium distributions in thermodynamical traffic gas
نویسنده
چکیده
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 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. PACS numbers: 05.70-a, 05.20-y, 45.70 Vn
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1 2 O ct 2 00 6 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 is successfully compared with the highway-traffic data, which crowns the long-term searching for the exact form of traffic clearance distributions. In additio...
متن کاملEquilibrium distributions in thermodynamical traffic gas
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تاریخ انتشار 2008