Krbálek, Milan Inter-vehicle gap statistics on signal-controlled crossroads. (English) Zbl 1146.90367 J. Phys. A, Math. Theor. 41, No. 20, Article ID 205004, 8 p. (2008). Summary: We investigate a microscopical structure in a chain of cars waiting at a red signal on signal-controlled crossroads. A one-dimensional space-continuous thermodynamical model leading to an excellent agreement with the data measured is presented. Moreover, we demonstrate that an inter-vehicle spacing distribution disclosed in relevant traffic data agrees with the thermal-balance distribution of particles in the thermodynamical traffic gas (discussed in [1]) with a high inverse temperature (corresponding to a strong traffic congestion). Therefore, as we affirm, such a system of stationary cars can be understood as a specific state of the traffic sample operating inside a congested traffic stream. Cited in 3 Documents MSC: 90B20 Traffic problems in operations research PDFBibTeX XMLCite \textit{M. Krbálek}, J. Phys. A, Math. Theor. 41, No. 20, Article ID 205004, 8 p. (2008; Zbl 1146.90367) Full Text: DOI arXiv