Reaction-diffusion models describing a two-lane traffic flow

Fouladvand, M. E ; Sharif University of Technology | 2000

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevE.62.5940
  3. Publisher: 2000
  4. Abstract:
  5. A unidirectional two-lane road is approximated by a set of two parallel closed one-dimensional chains. Two types of cars, i.e., slow and fast ones are considered in the system. Based on the Nagel-Schreckenberg model of traffic flow [K. Nagel and M. Schreckenberg, J. Phys. 2, 2221 (1992)], a set of reaction-diffusion processes is introduced to simulate the behavior of the cars. Fast cars can pass the slow ones using the passing lane. We write and solve the mean-field rate equations for the density of slow and fast cars, respectively. We also investigate the properties of the model through computer simulations and obtain the fundamental diagrams. A comparison between our results and the [Formula Presented] version of the Nagel-Schreckenberg model is made. © 2000 The American Physical Society
  6. Keywords:
  7. Approximation theory ; Random processes ; Mathematical models ; Graph theory ; Computer simulation
  8. Source: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics ; Volume 62, Issue 5 , 2000 , Pages 5940-5947 ; 1063651X (ISSN)
  9. URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.62.5940