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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Šurda, A. (2009). Statistical Approach to Traffic Flow. In: Appert-Rolland, C., Chevoir, F., Gondret, P., Lassarre, S., Lebacque, JP., Schreckenberg, M. (eds) Traffic and Granular Flow ’07. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77074-9_43
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DOI: https://doi.org/10.1007/978-3-540-77074-9_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77073-2
Online ISBN: 978-3-540-77074-9
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