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

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

2004-10-04

arxiv.org/abs/cond-mat/0410074v2

The European Physical Journal B - Condensed Matter Physics, vol. 42, nr. 1, pages 131-140, november 2004

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1140/epjb/e2004-00365-8

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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