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Statistical Approach to Traffic Flow

  • Anton Šurda
Conference paper

Summary

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is characterized by a conditional probability of a velocity of a car for a given velocity and distance of the car ahead. Distribution of car velocities for various densities of a group of cars is derived as well as probabilities of density fluctuations of the group for various velocities. Free-flow phase, congested phase, and formation of platoons of cars were found.

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References

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    Wolf D E, Schreckenberg M, Bachem A (Eds.) (1996) Traffic and Granular Flow, World Scientific. Google Scholar
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    Gross D H E (2001) Microcanonical thermodynamics: Phase transitions in “small” systems, Lecture Notes in Physics, 66, World Scientific, Singapore. Google Scholar
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    Mahnke R, Hinkel J, Kaupužs J, Weber H (2006) Thermodynamics of traffic flow, cond-mat/0606509.
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    Šurda A (2007) Statistical mechanics of non-Hamiltonian systems: Traffic flow, (to be published). Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Anton Šurda
    • 1
  1. 1.Institute of Physics, SASBratislavaSlovakia

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