Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-08-31
Physica A 303, 251-260 (2002)
Physics
Condensed Matter
Statistical Mechanics
Comments are welcome. For related work see http://www.helbing.org
Scientific paper
10.1016/S0378-4371(01)00483-6
Traffic flow at low densities (free traffic) is characterized by a quasi-one-dimensional relation between traffic flow and vehicle density, while no such fundamental diagram exists for `synchronized' congested traffic flow. Instead, a two-dimensional area of widely scattered flow-density data is observed as a consequence of a complex traffic dynamics. For an explanation of this phenomenon and transitions between the different traffic phases, we propose a new class of molecular-dynamics-like, microscopic traffic models based on times to collisions and discuss the properties by means of analytical arguments. Similar models may help to understand the laminar and turbulent phases in the dynamics of stock markets as well as the transitions among them.
Batic Davide
Helbing Dirk
Schoenhof Martin
Treiber Martin
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