Gravity model in the Korean highwayWoo-Sung Jung, Fengzhong Wang and H. Eugene Stanley
Center for Polymer Studies and Department of Physics, Boston University - Boston, MA 02215, USA
received 4 October 2007; accepted in final form 20 December 2007; published February 2008
published online 21 January 2008
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.
89.75.Hc - Networks and genealogical trees.
89.40.Bb - Land transportation.
89.75.-k - Complex systems.
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