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Physics of the city: an exponential car mobility law.

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

We show an exponential law for the car dynamics in urban contexts, deduced analyzing a very large set of GPS data. This law appears to be common for very different urban systems, from the size of a town to that of a metropolis, and we think that it could be a universal city law, valid for every urban car dynamics. We describe series of global data sufficiently long to define the dynamical driving car behaviour. More precisely a GPS system has been set up on the single car for insurance reasons, measuring position and velocity. The data are recorded every time the engine is switched on or off, and during the travel at a distance of about 2 km. We have found an exponential law for the travel lenght distribution of urban car mobility (fig. 1). We consider the cases of Senigallia (small town), Bologna (middle town) and Roma (metropolis) to show the universal character of the law. We discuss some implication of this law, and in particular its relation with the asystematic mobility pointed out by recent sociological studies.

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