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This work studies the crossroad traffic model with low velocity vehicles,wherein the model consists of two one-lane roads. The parallel updating rule without traffic lights is obeyed by all the cars in our model. Based on the principle for constructing phase diagrams and the local occupation probability method,the phase diagrams are constructed,and in every phase diagram,the formulas of current in each region can be obtained. The deterministic FI model with the periodic boundary is applied in our numerical simulations. It turns out that the numerical results are in exact accordance with the theoretical analysis. Besides,the parallel updating rule is more common in the real crossroad traffic and thus our work may be helpful for the study of traffic management.
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Keywords:
- local occupation probability method /
- phase diagram /
- crossroad /
- cellular automaton
[1] Wolfram S 1983 Rev. Mod. Phys. 55 601
[2] Chowdhury D,Santen L,Schadschneider A 2000 Phys. Rep. 329 199
[3] Xue Y,Dong L Y,Li L,Dai S Q 2005 Phys. Rev. E 71 026123
[4] Nagatani T 2000 Physica A 280 602
[5] Pottmeier A,Barlovic R,Knospe W,Schadschneider A,Schreckenberg M 2002 Physica A 308 471
[6] He H D,Lu W Z,Xue Y,Dong L Y 2009 Chin. Phys. B 18 2703
[7] Chung K H,Hui P M 1994 J. Phys. Soc. Jpn. 63 4338
[8] Ishibashi Y,Fukui M 2001 J. Phys. Soc. Jpn. 70 1237
[9] Chau H F,Hao X,Liu L G 2002 Physica A 303 534
[10] Ishibashi Y,Fukui M 2001 J. Phys. Soc. Jpn. 70 3747
[11] Biham O,Middleton A,Levine D 1992 Phys. Rev. A 46 6124
[12] Ishibashi Y,Fukui M 2001 J. Phys. Soc. Jpn. 70 2793
[13] Ishibashi Y,Fukui M 1996 J. Phys. Soc. Jpn. 65 2793
[14] Chowdhury D,Schreckenberg A 1999 Phys. Rev. E 59 R1311
[15] Brockfeld E,Barlovic R,Schadschneider A 2001 Phys. Rev. E 64 056132
[16] Chen R X,Bai K Z,Liu M R 2006 Chin. Phys. 15 1471
[17] Wang B H,Wang L,Hui P M 1997 J. Phys. Soc. Jpn. 66 3683
[18] Hu S X,Gao K,Wang B H,Lu Y F 2008 Chin. Phys. B 17 1863
[19] Jiang R,Wu Q S,Wang B H 2002 Phys. Rev. E 66 036104
[20] Peng L,Tan H L,Wu D Y,Liu M R,Kong L J 2004 Acta Phys. Sin. 53 2899 (in Chinese) [彭 麟、谭惠丽、吴大燕、刘慕仁、孔令江 2004 53 2899]
[21] Teng Y F,Gao Z Y,Jia B,Li F 2008 Acta Phys. Sin. 57 1365 (in Chinese) [滕亚帆、高自友、贾 斌、李 峰 2008 57 1365]
[22] Mei C Q,Huang H J,Tang T Q,Wang H W 2009 Acta Phys. Sin. 58 1497 (in Chinese) [梅超群、黄海军、唐铁桥、王惠文 2009 58 1497]
[23] Tang T Q,Huang H J,Xu G,Xue Y 2008 Acta Phys. Sin. 57 56 (in Chinese) [唐铁桥、黄海军、徐 刚、薛 郁 2008 57 56]
[24] Mei C Q,Huang H J,Tang T Q 2009 Acta Phys. Sin. 58 3014 (in Chinese) [梅超群、黄海军、唐铁桥 2009 58 3014]
[25] Zheng R S,Lü J R,Zhu L H,Chen S D,Pang S Q 2009 Acta Phys. Sin. 58 5244 (in Chinese) [郑容森、吕集尔、朱留华、陈时东、庞寿全 2009 58 5244]
[26] Bai K Z,Chen R X,Liu M R,Kong L J,Zheng R S 2009 Acta Phys. Sin. 58 4500 (in Chinese) [白克钊、陈瑞熊、刘慕仁、孔令江、郑容森 2009 58 4500]
[27] Li S C,Kong L J,Liu M R,Zheng R S 2009 Acta Phys. Sin. 58 2276 (in Chinese) [李盛春、孔令江、刘慕仁、郑容森 2009 58 2276]
[28] Li S C,Kong L J,Liu M R,Zheng R S 2009 Acta Phys. Sin. 58 2266 (in Chinese) [李盛春、孔令江、刘慕仁、郑容森 2009 58 2266]
[29] Chen S D,Zhu L H,Zheng R S,Kong L J,Liu M R 2009 Acta Phys. Sin. 58 2271(in Chinese) [陈时东、朱留华、郑容森、孔令江、刘慕仁 2009 58 2271]
[30] Xue Y,Dong L Y,Yuan Y W,Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese)[薛 郁、董力耘、袁以武、戴世强 2002 51 492]
[31] Lei L,Xue Y,Dai S Q 2003 Acta Phys. Sin. 52 2121 (in Chinese) [雷 丽、薛 郁、戴世强 2003 52 2121]
[32] Mei C Q,Huang H J,Tang T Q 2008 Acta Phys. Sin. 57 4786 (in Chinese) [梅超群、黄海军、唐铁桥 2008 57 4786]
[33] Xiao S F,Liu M R,Kong L J 2006 Acta Phys. Sin. 55 3328 (in Chinese) [肖世发、刘慕仁、孔令江 2006 55 3328]
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[1] Wolfram S 1983 Rev. Mod. Phys. 55 601
[2] Chowdhury D,Santen L,Schadschneider A 2000 Phys. Rep. 329 199
[3] Xue Y,Dong L Y,Li L,Dai S Q 2005 Phys. Rev. E 71 026123
[4] Nagatani T 2000 Physica A 280 602
[5] Pottmeier A,Barlovic R,Knospe W,Schadschneider A,Schreckenberg M 2002 Physica A 308 471
[6] He H D,Lu W Z,Xue Y,Dong L Y 2009 Chin. Phys. B 18 2703
[7] Chung K H,Hui P M 1994 J. Phys. Soc. Jpn. 63 4338
[8] Ishibashi Y,Fukui M 2001 J. Phys. Soc. Jpn. 70 1237
[9] Chau H F,Hao X,Liu L G 2002 Physica A 303 534
[10] Ishibashi Y,Fukui M 2001 J. Phys. Soc. Jpn. 70 3747
[11] Biham O,Middleton A,Levine D 1992 Phys. Rev. A 46 6124
[12] Ishibashi Y,Fukui M 2001 J. Phys. Soc. Jpn. 70 2793
[13] Ishibashi Y,Fukui M 1996 J. Phys. Soc. Jpn. 65 2793
[14] Chowdhury D,Schreckenberg A 1999 Phys. Rev. E 59 R1311
[15] Brockfeld E,Barlovic R,Schadschneider A 2001 Phys. Rev. E 64 056132
[16] Chen R X,Bai K Z,Liu M R 2006 Chin. Phys. 15 1471
[17] Wang B H,Wang L,Hui P M 1997 J. Phys. Soc. Jpn. 66 3683
[18] Hu S X,Gao K,Wang B H,Lu Y F 2008 Chin. Phys. B 17 1863
[19] Jiang R,Wu Q S,Wang B H 2002 Phys. Rev. E 66 036104
[20] Peng L,Tan H L,Wu D Y,Liu M R,Kong L J 2004 Acta Phys. Sin. 53 2899 (in Chinese) [彭 麟、谭惠丽、吴大燕、刘慕仁、孔令江 2004 53 2899]
[21] Teng Y F,Gao Z Y,Jia B,Li F 2008 Acta Phys. Sin. 57 1365 (in Chinese) [滕亚帆、高自友、贾 斌、李 峰 2008 57 1365]
[22] Mei C Q,Huang H J,Tang T Q,Wang H W 2009 Acta Phys. Sin. 58 1497 (in Chinese) [梅超群、黄海军、唐铁桥、王惠文 2009 58 1497]
[23] Tang T Q,Huang H J,Xu G,Xue Y 2008 Acta Phys. Sin. 57 56 (in Chinese) [唐铁桥、黄海军、徐 刚、薛 郁 2008 57 56]
[24] Mei C Q,Huang H J,Tang T Q 2009 Acta Phys. Sin. 58 3014 (in Chinese) [梅超群、黄海军、唐铁桥 2009 58 3014]
[25] Zheng R S,Lü J R,Zhu L H,Chen S D,Pang S Q 2009 Acta Phys. Sin. 58 5244 (in Chinese) [郑容森、吕集尔、朱留华、陈时东、庞寿全 2009 58 5244]
[26] Bai K Z,Chen R X,Liu M R,Kong L J,Zheng R S 2009 Acta Phys. Sin. 58 4500 (in Chinese) [白克钊、陈瑞熊、刘慕仁、孔令江、郑容森 2009 58 4500]
[27] Li S C,Kong L J,Liu M R,Zheng R S 2009 Acta Phys. Sin. 58 2276 (in Chinese) [李盛春、孔令江、刘慕仁、郑容森 2009 58 2276]
[28] Li S C,Kong L J,Liu M R,Zheng R S 2009 Acta Phys. Sin. 58 2266 (in Chinese) [李盛春、孔令江、刘慕仁、郑容森 2009 58 2266]
[29] Chen S D,Zhu L H,Zheng R S,Kong L J,Liu M R 2009 Acta Phys. Sin. 58 2271(in Chinese) [陈时东、朱留华、郑容森、孔令江、刘慕仁 2009 58 2271]
[30] Xue Y,Dong L Y,Yuan Y W,Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese)[薛 郁、董力耘、袁以武、戴世强 2002 51 492]
[31] Lei L,Xue Y,Dai S Q 2003 Acta Phys. Sin. 52 2121 (in Chinese) [雷 丽、薛 郁、戴世强 2003 52 2121]
[32] Mei C Q,Huang H J,Tang T Q 2008 Acta Phys. Sin. 57 4786 (in Chinese) [梅超群、黄海军、唐铁桥 2008 57 4786]
[33] Xiao S F,Liu M R,Kong L J 2006 Acta Phys. Sin. 55 3328 (in Chinese) [肖世发、刘慕仁、孔令江 2006 55 3328]
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