Non-concave fundamental diagrams and phase transitions in a stochastic traffic cellular automaton

Abstract

Within the class of stochastic cellular automata models of traffic flows, we look at the velocity dependent randomization variant (VDR-TCA) whose parameters take on a specific set of extreme values. These initial conditions lead us to the discovery of the emergence of four distinct phases. Studying the transitions between these phases, allows us to establish a rigorous classification based on their tempo-spatial behavioral characteristics. As a result from the system's complex dynamics, its flow-density relation exhibits a non-concave region in which forward propagating density waves are encountered. All four phases furthermore share the common property that moving vehicles can never increase their speed once the system has settled into an equilibrium.

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• Traffic and Related Self-Driven Many-Particle Systems
• Cellular Automata Models of Road Traffic
• Cluster formation and anomalous fundamental diagram in an ant trail model
• A Comparison of a Cellular Automaton and a Macroscopic Model
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Cited by in corpus (6)

• Cellular Automata Models of Road Traffic
• Modelling highway-traffic headway distributions using superstatistics
• Transportation Planning and Traffic Flow Models
• Phase separation induces congestion waves in electric vehicle charging
• Hybrid multilane models for highway traffic
• Evolution of behaviors in heterogeneous traffic models as driven annealed disorders and its relation to the n-vector model