Jamming transition in a cellular automaton model for traffic flow
arXiv:cond-mat/9706041 · doi:10.1103/PhysRevE.57.1309
Abstract
The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. In the presence of noise, however, no consistent picture has emerged up to now. We present data from numerical simulations which suggest the absence of critical behavior. The transition of the deterministic case is smeared out and one only observes the remnants of the critical point.
20 pages, 12 figures, REVTEX
References in corpus (4)
Cited by in corpus (32)
- Traffic and Related Self-Driven Many-Particle Systems
- Cellular Automata Models of Road Traffic
- Two-lane traffic rules for cellular automata: A systematic approach
- Jamming transition in a homogeneous one-dimensional system: the Bus Route Model
- Network resilience
- Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving
- An empirical test for cellular automaton models of traffic flow
- Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
- Jamming transition in air transportation networks
- Asymmetric exclusion processes with shuffled dynamics
- The nondeterministic Nagel-Schreckenberg traffic model with open boundary conditions
- Critical behavior of a traffic flow model
- Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model
- Density Waves and Jamming Transition in Cellular Automaton Models for Traffic Flow
- Critical behavior of a cellular automaton highway traffic model
- Spontaneous Jamming in One-Dimensional Systems
- Traffic jams and ordering far from thermal equilibrium
- Frozen shuffle update for an asymmetric exclusion process on a ring
- Rare-Event Properties of the Nagel-Schreckenberg Model
- Traffic Flow Theory
- On dispersion relations and the statistical mechanics of Hawking radiation
- Power laws and phase transitions in heterogenous car following with reaction times
- The effects of overtaking strategy in the Nagel-Schreckenberg model
- Disorder Effects in CA-Models for Traffic Flow
- A traffic model with an absorbing-state phase transition
- Two effective temperatures in traffic flow models: analogies with granular flow
- A Cellular Automaton Model for the Traffic Flow in Bogota
- Hybrid multilane models for highway traffic
- A criterion for condensation in kinetically constrained one-dimensional transport models
- Evidence of Non-Equilibrium Critical Phenomena in a Simple Model of Traffic
- Analytical approaches to CA for traffic flow: Approximations and exact solutions
- Jamming Transition in CA Models for Traffic Flow