Abstract.
In this paper, we investigate mixed bicycle flow using the multi-value cellular automata (CA) model. Two types of bicycles with different maximum speed are considered in the system. The system of mixed bicycles is investigated under both deterministic and stochastic regimes. It is shown under the deterministic case that there appear multiple states both in congested flow and free flow regions. Analytical analysis is carried out and is in good agreement with the simulation results. Under the stochastic case, the multiple states effect disappears only when both slow and fast bicycles are randomized. Spacetime plots are presented to show the evolution of mixed bicycle flow.
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References
D. Chowdhury, L. Santen, A. Schadschneider, Physics Reports 329, 199 (2000)
D. Helbing, Rev. Mod. Phys. 73, 1067 (2001)
T. Nagatani, Rep. Prog. Phys. 65, 1331 (2002)
M. Bando, K. Hasebe, A. Nakayama, A. Shibata, Y. Sugiyama, Phys. Rev. E 51, 1035 (1995)
H.Y. Lee, H.W. Lee, D. Kim, Phys. Rev. Lett. 81, 1130 (1998)
B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A: Math. Gen. 35, 9971 (2002)
K. Nagel, M. Schreckenberg, J. Physique I 2, 2221 (1992)
X.B. Li, Q.S. Wu, R. Jiang, Phys. Rev. E 64, 066128 (2001)
S.C. Benjamin, N.F. Johnson, P.M. Hui, J. Phys. A: Math. Gen. 29, 3119 (1996); R. Barlovic, L. Santen, A. Schadschneider et al., Eur. Phys. J. B 5, 793 (1998)
S. Wolfram, Theory and Applications of Cellular Automata (World Scientific, Singapore, 1986)
K. Nishinari, D. Takahashi, J. Phys. A: Math. Gen. 31, 5439 (1998)
K. Nishinari, D. Takahashi, J. Phys. A: Math. Gen. 32, 93 (1999)
K. Nishinari, D. Takahashi, J. Phys. A: Math. Gen. 33, 7709 (2000)
K. Nishinari, J. Phys. A: Math. Gen. 34, 10727 (2001)
J. Matsukidaira, K. Nishinari, Phys. Rev. Lett. 90, 088701 (2003)
J. Matsukidaira, K. Nishinari, Int. J. Mod. Phys. C 15, 507 (2004)
R. Jiang, B. Jia, Q.S. Wu, J. Phys. A: Math. Gen. 37, 2063 (2004)
D. Chowdhury, D.E. Wolf, M. Schreckenberg, Physica A 235, 417 (1997)
W. Knospe, L. Santen, A. Schadschneider, M. Schreckenberg, Physica A 265, 614 (1999)
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Jia, B., Li, XG., Jiang, R. et al. Multi-value cellular automata model for mixed bicycle flow. Eur. Phys. J. B 56, 247–252 (2007). https://doi.org/10.1140/epjb/e2007-00116-5
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DOI: https://doi.org/10.1140/epjb/e2007-00116-5