Self-organized criticality in 1D stochastic traffic flow model

DOI10.1016/S0034-4877(97)85900-9zbMath0907.60085OpenAlexW2005985298MaRDI QIDQ1387127

D. P. Daneva, N. C. Pesheva, Jordan G. Brankov

Publication date: 2 June 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85900-9

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Other physical applications of random processes (60K40) Operations research and management science (90B99)

Related Items (2)

Quadratic algebras in traffic flow models. ⋮ Self-organized criticality in D stochastic traffic flow model with a speed limit

Cites Work

• Generalized Bethe ansatz solution of a one-dimensional asymmetric exclusion process on a ring with blockage
• Deterministic models for traffic jams
• An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
• Statistical mechanics of probabilistic cellular automata.
• Phase transitions in an exactly soluble one-dimensional exclusion process
• The Kasteleyn model and a cellular automaton approach to traffic flow
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Self-organized criticality in 1D traffic flow model with inflow or outflow

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