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Gravity model in the Korean highway

Woo-Sung Jung, Fengzhong Wang and H. Eugene Stanley

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We investigate the traffic flows of the Korean highway system, which contains both public and private transportation information. We find that the traffic flow Tij between city i and j forms a gravity model, the metaphor of physical gravity as described in Newton's law of gravity, PiPj/rij2, where Pi represents the population of city i and rij the distance between cities i and j. It is also shown that the highway network has a heavy tail even though the road network is a rather uniform and homogeneous one. Compared to the highway network, air and public ground transportation establish inhomogeneous systems and have power law behaviors.


PACS

89.40.Bb Land transportation

89.75.-k Complex systems

89.75.Hc Networks and genealogical trees

Subjects

Environmental and Earth science

Statistical physics and nonlinear systems

Dates

Issue 4 (February 2008)

Received 4 October 2007, accepted for publication 20 December 2007

Published 21 January 2008



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