Milan Krbálek 2008 J. Phys. A: Math. Theor. 41 205004 doi:10.1088/1751-8113/41/20/205004
Inter-vehicle gap statistics on signal-controlled crossroads
Milan Krbálek
Show affiliationsWe 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.
- PACS
- MSC
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62Exx Distribution theory (See also 60Exx)
82B30 Statistical thermodynamics (See also 80-XX)
60K30 Applications (congestion, allocation, storage, traffic, etc.) (See also 90Bxx)
- Subjects
- Dates
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Issue 20 (23 May 2008)
Received 27 November 2007, in final form 4 April 2008
Published 29 April 2008
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Inter-vehicle gap statistics on signal-controlled crossroads
Milan Krbálek 2008 J. Phys. A: Math. Theor. 41 205004
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