Statistical Approach to Traffic Flow

Anton Šurda
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Anton Šurda: Institute of Physics, SAS

A chapter in Traffic and Granular Flow ’07, 2009, pp 401-406 from Springer

Abstract: 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.

Date: 2009
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DOI: 10.1007/978-3-540-77074-9_43

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