Critical behavior of a traffic flow model
arXiv:cond-mat/9812212 · doi:10.1103/PhysRevE.59.2672
Abstract
The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams without the necessity to define a car to be jammed or not. Above the jamming transition the dynamical structure factor exhibits for a given k-value two maxima corresponding to the separation of the system into the free flow phase and jammed phase. We obtain from a finite-size scaling analysis of the smallest jam mode that approaching the transition long range correlations of the jams occur.
5 pages, 7 figures, accepted for publication in Physical Review E
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Cited by in corpus (13)
- Traffic and Related Self-Driven Many-Particle Systems
- The nondeterministic Nagel-Schreckenberg traffic model with open boundary conditions
- Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model
- Density Waves and Jamming Transition in Cellular Automaton Models for Traffic Flow
- Criticality in Dynamic Arrest: Correspondence between Glasses and Traffic
- Rare-Event Properties of the Nagel-Schreckenberg Model
- Power laws and phase transitions in heterogenous car following with reaction times
- A traffic model with an absorbing-state phase transition
- Finite Size Effects in the Nagel-Schreckenberg Traffic Model
- A criterion for condensation in kinetically constrained one-dimensional transport models
- Evidence of Non-Equilibrium Critical Phenomena in a Simple Model of Traffic
- Decentralized Traffic Flow Optimization Through Intrinsic Motivation
- Continuously variable spreading exponents in the absorbing Nagel-Schreckenberg model