Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1994 · 73 citations · 16 references
EngineeringComputer ScienceComputational PhysicsDynamical SystemsQueuing TheoryAutomata TheoryCellular AutomataMarkov ChainsTraffic Flow TheoryCellular Automata SimulationCellular Automaton ModelingShort-range CorrelationsStochastic Cellular AutomataTraffic Flow ModelingTwo-dimensional Cellular Automata
The jam phases in a two-dimensional cellular-automaton model of traffic flow are investigated by computer simulations. Two different types of jam phases are found. The spatially diagonal long-range correlation obeys a power law at the low-density jam configurations. The diagonal correlation exponentially decays at the high-density jam. The exponent of the short-range correlation in the diagonal direction is introduced to define the transition between these two phases. We also discuss the stability of the jams.
16
Self-organized criticality: An explanation of the 1/<i>f</i>noise
Per Bak, Chao Tang, Kurt Wiesenfeld · Physical Review Letters · 1987 · 7.6K citations
Per Bak, Chao Tang, Kurt Wiesenfeld · Physical review. A, General physics · 1988 · 4.7K citations
Statistical mechanics of cellular automata
Stephen Wolfram · Reviews of Modern Physics · 1983 · 3.1K citations
Ballistic deposition on surfaces
Paul Meakin, P. Ramanlal, Leonard M. Sander et al. · Physical review. A, General physics · 1986 · 621 citations
Natural Sciences, Materials Engineering, Materials Science +12