| INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
Prev
Next
|
|
|
Self-organized phenomena of pedestrian counter flow in a channel under periodic boundary conditions |
| Li Xiang (李翔)a, Duan Xiao-Yin (段晓茵)a, Dong Li-Yun (董力耘)a b |
a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, China |
|
|
|
|
Abstract In this paper we investigate self-organized phenomena such as lane formation generated by pedestrian counter flow in a channel. The lattice gas model is extended to take the effect of walkers in the opposite direction into account simultaneously when they are in the view field of a walker, i.e., walkers tend to follow the leaders in the same direction and avoid conflicts with those walking towards them. The improved model is then used to mimic pedestrian counter flow in a channel under periodic boundary conditions. Numerical simulations show that lane formation is well reproduced, and this process is rather rapid which coincides with real pedestrian traffic. The average velocity and critical density are found to increase to some degree with the consideration of view field.
|
Received: 01 March 2012
Revised: 16 April 2012
Accepted manuscript online:
|
|
PACS:
|
89.40.Bb
|
(Land transportation)
|
| |
02.50.Cw
|
(Probability theory)
|
| |
05.50.+q
|
(Lattice theory and statistics)
|
|
| Fund: Project partially supported by the National Basic Research Program of China (Grant No. 2012CB725404), the National Natural Science Foundation of China (Grant Nos. 10972135 and 11172164), the Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 11YZ12), the Shanghai Program for Innovative Research Team in Universities, and the Program for Changjiang Scholars and Innovative Research Team in Universities, China (Grant No. IRT0844). |
Corresponding Authors:
Dong Li-Yun
E-mail: dly@shu.edu.cn
|
Cite this article:
Li Xiang (李翔), Duan Xiao-Yin (段晓茵), Dong Li-Yun (董力耘) Self-organized phenomena of pedestrian counter flow in a channel under periodic boundary conditions 2012 Chin. Phys. B 21 108901
|
| [1] |
Helbing D 2001 Rev. Mod. Phys. 73 1067
|
| [2] |
Hughes R L 2002 Transp. Res. B 36 507
|
| [3] |
Helbing D and Molnár P 1995 Phys. Rev. E 51 4282
|
| [4] |
Burstedde C, Klauck K, Schadschneider A and Zittartz J 2001 Physica A 295 507
|
| [5] |
Kirchner A and Schadschneider A 2002 Physica A 312 260
|
| [6] |
Helbing D, Farkas I J, Molnár P and Vicsek T 2002 Pedestrian and Evacuation Dynamics 21
|
| [7] |
Muramatsu M, Irie T and Nagatani T 1999 Physica A 267 487
|
| [8] |
Tajima Y, Takimoto K and Nagatani T 2002 Physica A 313 709
|
| [9] |
Ma J, Song W G and Liao G X 2010 Chin. Phys. B 19 128901
|
| [10] |
Ma J, Song W G, Zhang J, Lo S M and Liao G X 2010 Physica A 389 2101
|
| [11] |
Peng Y C and Chou C I 2011 Comput. Phys. Commun. 182 205
|
| [12] |
Kuang H, Li X L, Wei Y F, Song T and Dai S Q 2010 Chin. Phys. B 19 070517
|
| [13] |
Kuang H, Song T, Dai S Q and Li X L 2009 Int. J. Mod. Phys. C 20 1945
|
| [14] |
Kuang H, Li X L, Song T and Dai S Q 2008 Phys. Rev. E 78 066117
|
| [15] |
Li J, Yang L H and Zhao D L 2005 Physica A 354 619
|
| [16] |
Weng W G, Pan L L, Shen S F and Yuan H Y 2007 Physica A 374 821
|
| [17] |
Weng W G, Shen S F, Yuan H Y and Fan W C 2007 Physica A 375 668
|
| [18] |
Hao Q Y, Hu M B, Cheng X Q, Song W G, Jiang R and Wu Q S 2010 Phys. Rev. E 82 026113
|
| [19] |
Yue H, Guan H Z, Zhang J and Shao C F 2010 Physica A 389 527
|
| [20] |
Zhou J W, Chen X L, Zhou J H, Tan H L, Kong L J and Liu M R 2009 Acta Phys. Sin. 58 2281 (in Chinese)
|
| [21] |
Helbing D, Buzna L, Johansson A and Werner T 2005 Transport. Sci. 39 1
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
