Statistical Physics of Traffic Flow

Abstract

The modelling of traffic flow using methods and models from physics has a long history. In recent years especially cellular automata models have allowed for large-scale simulations of large traffic networks faster than real time. On the other hand, these systems are interesting for physicists since they allow to observe genuine nonequilibrium effects. Here the current status of cellular automata models for traffic flow is reviewed with special emphasis on nonequilibrium effects (e.g. phase transitions) induced by on- and off-ramps.

23 pages, 18 figures, uses Elsevier macros

References in corpus (4)

• Statistical Physics of Vehicular Traffic and Some Related Systems
• Single-vehicle data of highway traffic - a statistical analysis
• Steady-state selection in driven diffusive systems with open boundaries
• Effect of on- and off-ramps in cellular automata models for traffic flow

Cited by in corpus (25)

• Simulation of pedestrian dynamics using a 2-dimensional cellular automaton
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Cellular Automata Models of Road Traffic
• Modelling cytoskeletal traffic: an interplay between passive diffusion and active transport
• Exclusion processes on networks as models for cytoskeletal transport
• Some Exact Results for the Exclusion Process
• Dynamical Phase Transitions in a 2D Classical Nonequilibrium Model via 2D Tensor Networks
• Recursive structures in the multispecies TASEP
• Non-concave fundamental diagrams and phase transitions in a stochastic traffic cellular automaton
• Pair-factorized steady states on arbitrary graphs
• Disordered cellular automaton traffic flow model: Phase separated state, density waves and self organized criticality
• Exact Relaxation Dynamics in the Totally Asymmetric Simple Exclusion Process
• Long time asymptotics of the totally asymmetric simple exclusion process
• An introduction to phase transitions in stochastic dynamical systems
• Relaxation dynamics of the asymmetric simple exclusion process with Langmuir kinetics on a ring
• Exclusion Process on two intersected lanes with constrained resources: Symmetry breaking and shock dynamics
• One-dimensional irreversible aggregation with TASEP dynamics
• Multiline queues with spectral parameters
• Jamming and condensation in one-dimensional driven flow
• Phase separation induces congestion waves in electric vehicle charging
• Reentrant condensation transition in a two species driven diffusive system
• Relaxation dynamics of closed diffusive systems with infinitesimal Langmuir kinetics
• Asymmetric exclusion model with several kinds of impurities
• The phase diagram for a class of multispecies permissive asymmetric exclusion processes
• Dynamics of traffic jams: order and chaos