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In this paper, we extend a lattice gas model recently proposed by Li et al, which considers the view field of pedestrian. An improved lattice gas model takes into account the effect of pedestrians' walking preference feature of empty area in the view field to simulate traffic dynamics of pedestrian counter flow. Three dynamic evolution processes under different pedestrian density are reproduced. The randomness of lane formation for different pedestrian density is found, and the probability of lane formation is given. Numerical simulations of relationship diagrams between the probability of lane formation and parameters of the system geometry size, the probability and the proportion of right walker flow, the probability and the strength of the drift, also the probability and the view field size are investigated. Results show that the extended model cannot form for the lane formation under a low pedestrian density, which is associated with the real pedestrian traffic. It is found that the density of pedestrian counter flow could be divided into 5 intervals, and there are differences in the dynamic evolution processes between these 5 intervals. This model and its result is useful for the study of the dynamic evolution process, and is helpful for raising efficiency of pedestrian counter flow in the channel.
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Keywords:
- counter flow /
- lattice gas model /
- lane formation /
- probability
[1] Isobe M, Adachi T, Nagatani T 2004 Physica A 336 638
[2] Ge H X, Cheng R J, Lu Z M 2013 Chin. Phys. B 22 070507
[3] Xu L, Lu Z M, Ge H X 2013 Chin. Phys. B 22 120508
[4] Chen R, Li X, Dong L Y 2012 Acta Phys. Sin. 14 144502 (in Chinese) [陈然, 李翔, 董力耘 2012 物理学报 14 144502]
[5] Lu L L, Ren G, Wang W, Wang Y 2014 Chin. Phys. B 23 088901
[6] Wang H N, Chen D, Pang W, Xue Y, He H D 2014 Chin. Phys. B 23 080505
[7] Yue H, Zhang B Y, Shao C F, Xing Y 2014 Chin. Phys. B 23 050512
[8] Helbing D, Molnar P 1995 Phys. Rev. E 51 4282
[9] Helbing D 2001 Rev. Mod. Phys. 73 1067
[10] Yu W, Johansson A 2007 Phys. Rev. E 76 046105
[11] Fang W F, Yang L Z, Fan W C 2003 Physica A 321 633
[12] Yang L Z, Li J, Liu S B 2008 Physica A 387 3281
[13] Weng W G, Chen T, Yuan H Y, Fan W C 2006 Phys. Rev. E 74 036102
[14] Beak S K, Minnhagen P, Bernharddsson S, Choi K, Kim B J 2009 Phys. Rev. E 80 016111
[15] Yu Y F, Song W G 2007 Phys. Rev. E 75 046112
[16] Yue H, Shao C F, Chen X M, Hao H R 2008 Acta Phys. Sin. 57 6901 (in Chinese) [岳昊, 邵春福, 陈晓明, 郝合端 2008 物理学报 57 6901]
[17] Muramatsu M, Irie T, Nagatani T 1999 Physica A 267 487
[18] Takimoto K, Tajima Y, Nagatani T 2002 Physica A 308 460
[19] Yu Y F, Song W G 2007 Phys. Rev. E 76 026102
[20] Fukamachi M, Nagatani T 2007 Physica A 377 269
[21] Kuang H, Li X L, Song T, Dai S Q 2008 Phys. Rev. E 78 066117
[22] Kuang H, Li X L, Wei Y F, Song T, Dai S Q 2010 Chin. Phys. B 19 070517
[23] Ma J, Song W G, Liao G X 2010 Chin. Phys. B 19 128901
[24] Tajima Y, Takimoto K, Nagatani T 2002 Physica A 313 709
[25] Li X, Duan X Y, Dong L Y 2012 Chin. Phys. B 10 108901
[26] Ma J, Song W G, Zhang J, Lo S M, Liao G X 2010 Physica A 389 2101
[27] Ren G, Lu L L, Wang W 2012 Acta Phys. Sin. 61 144501 (in Chinese) [任刚, 陆丽丽, 王炜 2012 物理学报 61 144501]
[28] Hoogendoorn S, Daamen W 2005 Traffic and Granular Flow'03 (Berlin: Springer) p373
[29] Helbing D, Buzna L, Johansson A, Werner T 2005 Transport. Sci. 39 1
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[1] Isobe M, Adachi T, Nagatani T 2004 Physica A 336 638
[2] Ge H X, Cheng R J, Lu Z M 2013 Chin. Phys. B 22 070507
[3] Xu L, Lu Z M, Ge H X 2013 Chin. Phys. B 22 120508
[4] Chen R, Li X, Dong L Y 2012 Acta Phys. Sin. 14 144502 (in Chinese) [陈然, 李翔, 董力耘 2012 物理学报 14 144502]
[5] Lu L L, Ren G, Wang W, Wang Y 2014 Chin. Phys. B 23 088901
[6] Wang H N, Chen D, Pang W, Xue Y, He H D 2014 Chin. Phys. B 23 080505
[7] Yue H, Zhang B Y, Shao C F, Xing Y 2014 Chin. Phys. B 23 050512
[8] Helbing D, Molnar P 1995 Phys. Rev. E 51 4282
[9] Helbing D 2001 Rev. Mod. Phys. 73 1067
[10] Yu W, Johansson A 2007 Phys. Rev. E 76 046105
[11] Fang W F, Yang L Z, Fan W C 2003 Physica A 321 633
[12] Yang L Z, Li J, Liu S B 2008 Physica A 387 3281
[13] Weng W G, Chen T, Yuan H Y, Fan W C 2006 Phys. Rev. E 74 036102
[14] Beak S K, Minnhagen P, Bernharddsson S, Choi K, Kim B J 2009 Phys. Rev. E 80 016111
[15] Yu Y F, Song W G 2007 Phys. Rev. E 75 046112
[16] Yue H, Shao C F, Chen X M, Hao H R 2008 Acta Phys. Sin. 57 6901 (in Chinese) [岳昊, 邵春福, 陈晓明, 郝合端 2008 物理学报 57 6901]
[17] Muramatsu M, Irie T, Nagatani T 1999 Physica A 267 487
[18] Takimoto K, Tajima Y, Nagatani T 2002 Physica A 308 460
[19] Yu Y F, Song W G 2007 Phys. Rev. E 76 026102
[20] Fukamachi M, Nagatani T 2007 Physica A 377 269
[21] Kuang H, Li X L, Song T, Dai S Q 2008 Phys. Rev. E 78 066117
[22] Kuang H, Li X L, Wei Y F, Song T, Dai S Q 2010 Chin. Phys. B 19 070517
[23] Ma J, Song W G, Liao G X 2010 Chin. Phys. B 19 128901
[24] Tajima Y, Takimoto K, Nagatani T 2002 Physica A 313 709
[25] Li X, Duan X Y, Dong L Y 2012 Chin. Phys. B 10 108901
[26] Ma J, Song W G, Zhang J, Lo S M, Liao G X 2010 Physica A 389 2101
[27] Ren G, Lu L L, Wang W 2012 Acta Phys. Sin. 61 144501 (in Chinese) [任刚, 陆丽丽, 王炜 2012 物理学报 61 144501]
[28] Hoogendoorn S, Daamen W 2005 Traffic and Granular Flow'03 (Berlin: Springer) p373
[29] Helbing D, Buzna L, Johansson A, Werner T 2005 Transport. Sci. 39 1
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