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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 8: Urbane Systeme und Verkehrsdynamik

AKSOE 8.2: Talk

Wednesday, March 26, 2003, 16:30–17:00, BAR/205

Probabilistic Description of Traffic Flow — •Reinhard Mahnke and Ralf Remer — FB Physik, Univ. Rostock, 18051 Rostock

We present an application of a one–dimensional one–step stochastic process to describe the traffic breakdown phenomenon. We consider a traffic flow model on a one–lane circular road described by a stochastic master equation.

In traffic engineering one speaks about the traffic breakdown probability which is the inverse quantity of the average breakdown time during which a spontaneous jamming (clustering) of cars appears in an initially homogeneous metastable traffic flow.

We calculate the mean first passage time as characteristic time of breakdown at different overall vehicular densities showing the typical nucleation barrier.

[1] R. Mahnke, J. Kaupužs, Networks and Spatial Economics 1, 103 (2001)