Traffic and Related Self-Driven Many-Particle Systems
arXiv:cond-mat/0012229 · doi:10.1103/RevModPhys.73.1067
Abstract
Since the subject of traffic dynamics has captured the interest of physicists, many astonishing effects have been revealed and explained. Some of the questions now understood are the following: Why are vehicles sometimes stopped by so-called ``phantom traffic jams'', although they all like to drive fast? What are the mechanisms behind stop-and-go traffic? Why are there several different kinds of congestion, and how are they related? Why do most traffic jams occur considerably before the road capacity is reached? Can a temporary reduction of the traffic volume cause a lasting traffic jam? Under which conditions can speed limits speed up traffic? Why do pedestrians moving in opposite directions normally organize in lanes, while similar systems are ``freezing by heating''? Why do self-organizing systems tend to reach an optimal state? Why do panicking pedestrians produce dangerous deadlocks? All these questions have been answered by applying and extending methods from statistical physics and non-linear dynamics to self-driven many-particle systems. This review article on traffic introduces (i) empirically data, facts, and observations, (ii) the main approaches to pedestrian, highway, and city traffic, (iii) microscopic (particle-based), mesoscopic (gas-kinetic), and macroscopic (fluid-dynamic) models. Attention is also paid to the formulation of a micro-macro link, to aspects of universality, and to other unifying concepts like a general modelling framework for self-driven many-particle systems, including spin systems. Subjects such as the optimization of traffic flows and relations to biological or socio-economic systems such as bacterial colonies, flocks of birds, panics, and stock market dynamics are discussed as well.
A shortened version of this article will appear in Reviews of Modern Physics, an extended one as a book. The 63 figures were omitted because of storage capacity. For related work see http://www.helbing.org/
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- Development of kinks in car-following models
- A new class of models for surface relaxation with exact mean-field solutions
- The synchronization of elevators when not all passengers will ride the first-arriving elevator
- RACER: Rational Artificial Intelligence Car-following-model Enhanced by Reality
- A Power Law for the Duration of High-Flow States in Heterogeneous Traffic Flows
- Visual-information-driven model for crowd simulation using temporal convolutional network
- Risk of Collision and Detachment in Vehicle Platooning: Time-Delay-Induced Limitations and Trade-Offs (Extended Version)
- Internet comments as a barometer of public opinion
- Computation Speed of the F.A.S.T. Model
- Active Lévy Matter: Anomalous Diffusion, Hydrodynamics and Linear Stability
- Exact Solutions and Flow--Density Relations for a Cellular Automaton Variant of the Optimal Velocity Model with the Slow-to-Start Effect
- A simple Monte Carlo model for crowd dynamics
- On the breakup patterns of urban networks under load
- Theory of law of the power spectrum in dissipative flows
- Statistical mechanics of non-hamiltonian systems: Traffic flow
- Stationary states in two lane traffic: insights from kinetic theory
- Influence of self-disassembly of bridges on collective flow characteristics of swarm robots in a single-lane and periodic system with a gap
- Physics of systems with motivation as an interdisciplinary branch of science
- Study on particulate matter emissions from traffic by cellular automaton model with slow-to-start effect
- Occurrence of synchronized flow due to overtaking strategy in the Nagel-Schreckenberg model
- Collective Decision Dynamics in Group Evacuation: Modeling Tradeoffs and Optimal Behavior
- Dynamics of Panic Pedestrians in Evacuation
- Improved 2D Intelligent Driver Model simulating synchronized flow and evolution concavity in traffic flow
- Non-local response in a lattice gas under a shear drive
- Jamming in a lattice model of stochastically interacting agents with a field of view
- Collective motion of oscillatory walkers
- Weak pinning and long-range anticorrelated motion of phase boundaries in driven diffusive systems
- Critical dynamics of non-conserved strongly anisotropic permutation symmetric three-vector model
- Universality in voting behavior: an empirical analysis
- Saddle-Node Bifurcation to Jammed State for Quasi-One-Dimensional Counter Chemotactic Flow
- Switch between critical percolation modes in city traffic dynamics
- Dynamical aspects of spontaneous symmetry breaking in driven flow with exclusion
- Climbing two hills is faster than one: collective barrier-crossing by colloids driven through a microchannel
- Structure and dynamics in the low-density phase of a two-dimensional cellular automaton model of traffic flow
- Two-Dimensional Active Brownian Particles Crossing a Parabolic Barrier: Transition-Path Times, Survival Probability, and First-Passage Time
- Cellular automata approach to synchronized traffic flow modelling
- Stochastic and Coarse-Grained Two-Dimensional Modeling of Directional Particle Movement
- Jamming Transition of Point-to-Point Traffic Through Cooperative Mechanisms
- Winning strategies in congested traffic
- Comparison of escalator strategies in models using a modified totally asymmetric simple exclusion process
- Free chiral self-propelled robots compared to active Brownian circle swimmers
- Effect of Autonomous Driving on Traffic Breakdown in Mixed Traffic Flow: A Critical Mini-Review
- On a class of new nonlocal traffic flow models with look-ahead rules
- Study on Origins of Reverse Lane Usage using Nagel-Schreckenberg Model
- Identification and prioritization of urban traffic bottlenecks
- Excluded Volume Effect in Queueing Theory
- A hybrid of the optimal velocity and the slow-to-start models and its ultradiscretization
- Fundamental Diagrams of 1D-Traffic Flow by Optimal Control Models
- Collective behavior and emergent risks in a model of human- and autonomously-driven vehicles
- Analytical and Numerical Investigation of Ant Behavior Under Crowded Conditions
- Empowered by Wireless Communication: Self-Organizing Traffic Collectives
- A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
- Detection of coarse-grained unstable states of microscopic/stochastic systems: a timestepper-based iterative protocol
- Preventing congestion in crowd dynamics caused by reversing flow
- Entropic Analysis to Assess impact of Policies on Disorders and Conflicts within a system: Case Study of Traffic intersection as 12-Qubit Social Quantum System
- Fundamental and Real-World Challenges in Economics
- Uncovering Patterns of Participant-Invariant Influence in Networks
- Modelling vehicle and pedestrian collective dynamics: Challenges and advances
- A method for the optimization of nonlinear systems with delays that guarantees stability and robustness
- Adaptive Dynamic Congestion Avoidance with Master Equation
- Collective patterns of pedestrians interacting with attractions
- Research on PM emission and energy consumption of mixed traffic flow based on cellular automata FI model
- Complex Dynamics of Bus, Tram and Elevator Delays in Transportation System
- Impact of Disturbances on Mixed Traffic Control with Autonomous Vehicles
- Scale-free congestion clusters in large-scale traffic networks: a continuum modeling study
- Traffic flow on star graph: Nonlinear diffusion
- A macroscopic pedestrian model with variable maximal density
- Fluctuations in meta-population exclusion processes
- First-passage processes in a deterministic one-dimensional cellular automaton model of traffic flow
- Network of social groups or Let's have a party
- Global Exponential Stability for Complex-Valued Recurrent Neural Networks With Asynchronous Time Delays
- Generalizing second order macroscopic models via relative velocity of disturbances propagation in traffic flow
- Nonequilibrium phases and quantum correlations in synthetic transport models
- Impact of holding umbrella on uni- and bi-directional pedestrian flow: Experiments and modeling
- A characteristic particle method for traffic flow simulations on highway networks
- Experimental feature of bicycle flow and its modeling
- Ring aggregation pattern of Human Travel Trips
- Diffusion in the presence of a local attracting factor: Theory and some interdisciplinary applications
- Variational interacting particle systems and Vlasov equations
- Microscopic driving theory with non-hypothetical congested steady state: Model and Empirical verification
- Traffic signal prediction on transportation networks using spatio-temporal correlations on graphs
- Tradeoff of generalization error in unsupervised learning
- Modeling urbanization dynamics by labor force migration
- Emergence of Self-Organized Amoeboid Movement in a Multi-Agent Approximation of Physarum polycephalum
- Extreme events in the Lienard system with asymmetric potential: An in-depth exploration