Berlin 2008 – scientific programme

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AKSOE: Arbeitskreis Physik sozio-ökonomischer Systeme

AKSOE 17: Traffic Dynamics, Urban, and Regional Systems

AKSOE 17.2: Talk

Thursday, February 28, 2008, 16:45–17:15, EW 203

Traffic Dynamics Prospectives: From Fundamental Diagram to Energy Balance — •Reinhard Mahnke and Christof Liebe — Universität Rostock, Institut für Physik, 18051 Rostock, Deutschland

Application of thermodynamics to driven systems is discussed. As particular examples, simple traffic flow models are considered. On a microscopic level, traffic flow is described by an optimal velocity model in terms of accelerating and decelerating forces. It allows to introduce kinetic, potential, as well as total energy, which is the internal energy of the car system in view of thermodynamics. The latter is not conserved, although it has certain value in any of two possible steady states corresponding either to fixed point or to limit cycle in the space of headways and velocities. The fundamental diagram as steady state flux over density shows hysteresis.