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A microscopic model for phase transitions in traffic flow
Open accessAbstract
A microscopic model for phase transitions in traffic flow is presented. The basic assumption of the model is that hypothetical homogeneous and stationary, i.e. `equilibrium' states of the model cover a two-dimensional region in the flow-density plane. As in empirical observations, in the model moving jams do not spontaneously occur in free flow. Instead, the first-order phase transition to synchronized flow beginning at some density in free flow is realized. The moving jams emerge only in synchronized flow. As a result, the diagrams of patterns (states) both for a homogeneous road without bottlenecks and at on-ramps are qualitatively different from those found in other approaches at present. In particular, only one type of pattern occurs at on-ramps, if the flow rates to the on-ramp and on the road are high enough: in this general pattern synchronized flow occurs upstream of the on-ramp and wide moving jams spontaneously emerge in this synchronized flow.
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Citations
Cited by
Effect of adaptive cruise control systems on traffic flow
Davis, L. C. (2004) · Physical Review E · doi:10.1103/physreve.69.066110 · Cited by 284
Determining the Breakpoints of Fundamental Diagrams
Jin, S., Luo, X., & Ma, D. (2020) · IEEE Intelligent Transportation Systems Magazine · doi:10.1109/mits.2018.2876576 · Cited by 15
Metadata
- Authors
- Kerner, B. S., & Klenov, S. L.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 2002-01-14
- Volume
- 35
- Issue
- 3
- Pages
- L31-L43
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2071408492
- Cited by
- 265
- References
- 0
- FWCI
- 25.86
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Kerner, B. S., & Klenov, S. L. (2002). A microscopic model for phase transitions in traffic flow. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/35/3/102
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