Supplemental Information:

Periodic States, Local Effects and Coexistence in the BML Traffic Jam Model


Nicholas J. Linesch

Raissa M. D'Souza


                             
Square Free Flow State  (FF)                                              Square Global Jammed State (GJ)
(128 x 128)                                                                             (128 x 128)                            

Movies:


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1


Periodic Intermediate (PI) State
for a Fibbonaci Lattice
(144 x 89)
2


 Periodic Intermediate (PI) State
for a Square Aspect Ratio  (128 x 128)

3


Disordered Intermediate (DI) State
 for a Square Aspect Ratio (128 x 128)

4


Three Particle Perturbation of System #3
Nucleates a Global Jam (DI to GJ)


More information about the BML model

Links to recent publications on BML:

  • R. M. D'Souza, "Coexisting phases and lattice dependence of a cellular automata model for traffic flow", Physical Review E, Volume 71, 0066112, 2005.

  • O. Angel, A. E. Holroyd & J. B. Martin "The Jammed Phase of the Biham-Middleton-Levine Traffic Model", Electronic Communications in Probability, 2005, Vol 10, Paper 17, 167-178.

  • R. M. D'Souza, "BML revisited: Statistical physics, computer simulation and probability", Complexity, 12, (2), 30-39, 2006.

  • Tim Austin and Itai Benjamini, "For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?", arXiv:math/0607759v3, 2006.

  • Itai Benjamini, Ori Gurel-Gurevich, Roey Izkovsky, "The Biham-Middleton-Levine traffic model for a single junction", arXiv:math/0703201v1, 2007.
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