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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.31: Poster
Thursday, March 30, 2006, 16:00–18:00, P1
How to describe a traffic breakdown physically? — •Julia Hinkel1, Reinhard Mahnke1, and Reinhart Kuehne2 — 1Institute of Physics, Rostock University, D–18051, Rostock — 2German Aerospace Center, Institute of Transportation Research, D–12489, Berlin
We would like to calculate the traffic breakdown probability distribution which is related to a first-order phase transition from free flow to congested flow. Intuitively we introduce the notion of breakdown probability density as a function of time to reach some significant large car cluster size (first passage time problem). The calculations are based on initial–boundary–value Fokker–Planck equation including balance condition of probability flux.
[1] R. Kühne, R. Mahnke, International Symposium on Transportation and Traffic Theory, Washington, 2005
[2] J. Hinkel, How to calculate traffic breakdown probability? TGF2005, Berlin, 2005 (preprint)