Vehicular Motion and Traffic Breakdown: Evaluation of Energy Balance

Christof Liebe (), Reinhard Mahnke (), Jevgenijs Kaupužs () and Hans Weber ()
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Christof Liebe: Rostock University, Institute of Physics
Reinhard Mahnke: Rostock University, Institute of Physics
Jevgenijs Kaupužs: University of Latvia, Institute of Mathematics and Computer Science
Hans Weber: Luleå University of Technology, Department of Physics

A chapter in Traffic and Granular Flow ’07, 2009, pp 381-387 from Springer

Abstract: Summary Microscopic traffic models based on follow–the–leader behaviour are strongly asymmetrically interacting many–particle systems. The well–known Bando’s optimal velocity model includes the fact that (firstly) the driver is always looking forward interacting with the lead vehicle and (secondly) the car travels on the road always with friction. Due to these realistic assumptions the moving car needs petrol for the engine to compensate dissipation by rolling friction. We investigate the flux of mechanical energy to evaluate the energy balance out of the given nonlinear dynamical system of vehicular particles. In order to understand the traffic breakdown as transition from free flow to congested traffic we estimate the total energy per car at low and high densities and observe the energy of jam formation.

Date: 2009
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DOI: 10.1007/978-3-540-77074-9_40

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