Self Organization and a Dynamical Transition in Traffic Flow Models

Abstract

A simple model that describes traffic flow in two dimensions is studied. A sharp {\it jamming transition } is found that separates between the low density dynamical phase in which all cars move at maximal speed and the high density jammed phase in which they are all stuck. Self organization effects in both phases are studied and discussed.

6 pages, 4 figures

Cited by in corpus (115)

• Social Force Model for Pedestrian Dynamics
• Congested Traffic States in Empirical Observations and Microscopic Simulations
• Traffic and Related Self-Driven Many-Particle Systems
• Simulation of pedestrian dynamics using a 2-dimensional cellular automaton
• Social physics
• Cellular Automata Models of Road Traffic
• Freezing by Heating in a Driven Mesoscopic System
• Optimizing Traffic Lights in a Cellular Automaton Model for City Traffic
• Particle hopping models and traffic flow theory
• Traffic experiment reveals the nature of car-following
• Emergent Traffic Jams
• Active Walker Model for the Formation of Human and Animal Trail Systems
• Cellular automata models of traffic flow along a highway containing a junction
• Gas-kinetic derivation of Navier-Stokes-like traffic equations
• Cellular automaton models and traffic flow
• Self-organization of traffic jams in cities: effects of stochastic dynamics and signal periods
• Kinetics of Clustering in Traffic Flows
• An Introduction to Collective Intelligence
• Phase Transitions in Two-Dimensional Traffic Flow Models
• Deterministic Models for Traffic Jams
• Granular materials composed of shape-anisotropic grains
• Traffic jams, gliders, and bands in the quest for collective motion
• Derivation of a Fundamental Diagram for Urban Traffic Flow
• Self-Organizing Traffic Lights
• Exact Steady States of Disordered Hopping Particle Models with Parallel and Ordered Sequential Dynamics
• Macroscopic traffic models from microscopic car-following models
• Dynamical Phase Transition in One Dimensional Traffic Flow Model with Blockage
• Characteristics of Vehicular Traffic Flow at a Roundabout
• Car accidents and number of stopped cars due to road blockage on a one-lane highway
• A Section-Based Queueing-Theoretical Traffic Model for Congestion and Travel Time Analysis in Networks
• Optimised Traffic Flow at a Single Intersection: Traffic Responsive signalisation
• Traffic optimization in transport networks based on local routing
• Jam phases in two-dimensional cellular automata model of traffic flow
• Coupled-Map Modeling of One-Dimensional Traffic Flow
• Theoretical approach to two-dimensional traffic flow models
• A two--parametric family of asymmetric exclusion processes and its exact solution
• A Statistical Approach to Vehicular Traffic
• Vehicular traffic flow at a non-signalised intersection
• Solvable Optimal Velocity Models and Asymptotic Trajectory
• Traffic flow on realistic road networks with adaptive traffic lights
• Effects of Prediction Feedback in Multi-Route Intelligent Traffic Systems
• Urban traffic from the perspective of dual graph
• A multi-lane TASEP model for crossing pedestrian traffic flows
• Analytical Results For The Steady State Of Traffic Flow Models With Stochastic Delay
• Two-dimensional cellular automaton model of traffic flow with open boundaries
• Steady state solutions of hydrodynamic traffic models
• Operation Regimes and Slower-is-Faster-Effect in the Control of Traffic Intersections
• Prediction feedback in intelligent traffic systems
• Asymmetric simple exclusion process describing conflicting traffic flows
• Coarsening Dynamics of a Quasi One-dimensional Driven Lattice Gas
• Diagonal patterns and chevron effect in intersecting traffic flows
• Stationary Velocity Distributions in Traffic Flows
• Intelligent Controlling Simulation of Traffic Flow in a Small City Network
• Anisotropic effect on two-dimensional cellular automaton traffic flow with periodic and open boundaries
• A cellular automaton traffic flow model between the Fukui-Ishibashi and Nagel-Schreckenberg models
• Maxwell Model of Traffic Flows
• Crossing pedestrian traffic flows,diagonal stripe pattern, and chevron effect
• Flow improvement caused by agents who ignore traffic rules
• Anomalous nucleation far from equilibrium
• Periodic States, Local Effects and Coexistence in the BML Traffic Jam Model
• Analytical Calculation of Critical Perturbation Amplitudes and Critical Densities by Non-Linear Stability Analysis of a Simple Traffic Flow Model
• Arrested States in Persistent Active Matter: Gelation without Attraction
• Collective Dynamics of Deformable Self-Propelled Particles with Repulsive Interaction
• A multi-species asymmetric exclusion process;steady state and correlation functions on a periodic lattice
• Adaptive drivers in a model of urban traffic
• Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes
• Vehicular traffic flow at an intersection with the possibility of turning
• Upper Bounds for the Critical Car Densities in Traffic Flow Problems
• Generalized Boltzmann Equation for Lattice Gas Automata
• For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?
• Dissipation of traffic congestion using agent-based car-following model with modified optimal velocity
• Drifting Spatial Structures in a System with Oppositely Driven Species
• Global existence for a system of non-linear and non-local transport equations describing the dynamics of dislocation densities
• Wake-mediated interaction between driven particles crossing a perpendicular flow
• Steady-state traffic flow on a ring road with up- and down- slopes
• Optimization of Velocity Ramps with Survival Analysis for Intersection Merge-Ins
• Phase Diagram Of The Biham-Middleton-Levine Traffic Model In Three Dimensions
• The Microscopic Representation of Complex Macroscopic Phenomena (Critical Slowing Down - A Blessing in Disguise)
• A traffic model based on fuzzy cellular automata
• Self-Organization in Traffic Lights: Evolution of Signal Control with Advances in Sensors and Communications
• Biham-Middleton-Levine Traffic Model With Origin-Destination Trips
• Deadlocks and waiting times in traffic jam
• Shear-Induced Clustering in a Simple Driven Diffusive Model
• Traffic models and traffic-jam transition in quantum ($N$+1)-level systems
• Bending of Sparklers
• Emergent Synchronization and Flocking in Purely Repulsive Self-Navigating Particles
• Perpendicular and Parallel Phase Separation in Two Species Driven Diffusive Lattice Gases
• Two-species active transport along cylindrical biofilaments is limited by emergent topological hindrance
• Universality of deterministic KPZ
• The Effect Of Delay Times On The Optimal Velocity Traffic Flow Behavior
• Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections
• Traffic gridlock on a honeycomb city
• Self-propulsion and self-navigation: Activity is a precursor to jamming
• A Two-Dimensional CA Traffic Model with Dynamic Route Choices Between Residence and Workplace
• Accelerated Kinetic Monte Carlo methods for general nonlocal traffic flow models
• Influence of driver behavior in the emergence of traffic gridlocks
• Geometric structure of coexisting phases found in the Biham-Middleton-Levine traffic model
• Autonomous Traffic Signal Control Model with Neural Network Analogy
• Unravelling the puzzling intermediate states in the Biham-Middleton-Levine traffic mode
• Vacancy-mediated domain growth in a driven lattice gas
• Stripe formation instability in crossing traffic flows
• Evidence of Non-Equilibrium Critical Phenomena in a Simple Model of Traffic
• Self-Organized States in Cellular Automata: Exact Solution
• Steady States of a Nonequilibrium Lattice Gas
• Simulation of Pedestrian Movements on Slope Using Fine Grid Cellular Automata
• Empirical evidence for a jamming transition in urban traffic
• Discrete two-contour system with co-directional movement
• Field-induced vacancy localization in a driven lattice gas: Scaling of steady states
• Coarse-grained cellular automaton for traffic systems
• Self Organization and Self Avoiding Limit Cycles
• Structure and dynamics in the low-density phase of a two-dimensional cellular automaton model of traffic flow
• Jamming Transition of Point-to-Point Traffic Through Cooperative Mechanisms
• First-passage processes in a deterministic one-dimensional cellular automaton model of traffic flow
• Parallel Implementations of Cellular Automata for Traffic Models
• Simulation of Wheelchair Movements in Crowd Using Fine Grid Cellular Automata