Abstract
We study the traffic flow in the hydrodynamic limit, where the analogy to fluid flow leads to the traffic equation in the form of the Navier-Stokes equation. It is shown that the traffic equation exhibits a variety of behaviors such as homogeneous flow, turbulent behavior, and density waves with fluctuations in the appropriate regime. In particular, the stability against random fluctuations and the possibility of 1/f fluctuations in the traffic current are investigated. (c) 1995 The American Physical Society
- Received 29 August 1995
DOI:https://doi.org/10.1103/PhysRevE.52.5979
©1995 American Physical Society