Nonlinear Sciences – Cellular Automata and Lattice Gases
Scientific paper
2004-04-08
Nonlinear Sciences
Cellular Automata and Lattice Gases
16 pages, 28 figures, technical report
Scientific paper
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.
Maerivoet Sven
Moor Bart de
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