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Dresden 2017 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 6: Poster

SOE 6.6: Poster

Montag, 20. März 2017, 17:00–20:00, P2-OG4

Large deviation properties of the Nagel-Schreckenberg model — •Wiebke Staffeldt and Alexander K. Hartmann — Institute of Physics, University of Oldenburg

The probability density function (pdf) P(q) of traffic flow q in the Nagel-Schreckenberg model for one lane traffic [1] for different densities of cars ρ is studied. We apply recently introduced large deviation techniques [2, 3], that work with an artificial temperature to direct the system in different regions. After suitably rescaling the data we obtain the true distribution even in the tails with probabilities as low as 10−150 in order to investigate their differences in the low- and high density regime. Numerical simulations for several vehicle densities ρ are performed for two scenarios: the situation of equilibrium on a lane with periodic boundary conditions and a nonequilibirium situation such as all vehicles start at a traffic light. We analyse the shape of the distribution as a function of the density ρ. Furthermore, the influence of finite-size effects is analysed by comparing the results for different system sizes. In particular, we evaluate the rate function Φ (q) = −1/L ln(P(q)).

[1] K. Nagel and M. Schreckenberg, J. Phys. I 2, 2221 (1992)

[2] A. K. Hartmann, Phys. Rev. E 89, 051203 (2014)

[3] A. K. Hartmann, Eur. Phys. J. B 84, 627-634 (2011)

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