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Based on the properties of the car-following model,we present in this paper a formula of the kinetic energy change and use the formula to study the effect of the lane changing on the kinetic energy of the system. The numerical results show that the lane changing probability and the relative velocity have great effect on the kinetic energy,but the lane changing probability and the relative speed will respectively lessen the frequency and amplitude of the change of the kinetic energy. In addition,the enhanced average kinetic energy of the system will decrease with the increase of its maximum lane changing probability.
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Keywords:
- traffic flow /
- car-following model /
- lane changing probability /
- kinetic energy
[1] Chowdhury D,Santen L,Schadschneider A 2000 Phys. Rep. 329 199
[2] Bando M,Hasebe K,Nakayama A,Shibata A,Sugiyama Y 1995 Phys. Rev. E 51 1035
[3] Helbing D,Tilch B 1998 Phys. Rev. E 58 133
[4] Jiang R,Wu Q S,Zhu Z J 2001 Phys. Rev. E 64 017101
[5] Xue Y 2002 Chin. Phys. 11 1128
[6] 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]
[7] Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛 郁 2003 52 2750]
[8] Li Z P,Liu Y C 2006 Chin. Phys. 15 1570
[9] Nagatani T 1999 Phys Rev. E 60 6395
[10] Ge H X,Dai S Q,Dong L Y,Xue Y 2004 Phys. Rev. E 70 066134
[11] Zhao X M,Gao Z Y 2005 Eur. Phys. J. B 47 145
[12] Wang T,Gao Z Y,Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese) [王 涛、高自友、赵小梅 2006 55 634]
[13] Han X L,Jiang C Y,Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临、姜长元、葛红霞、戴世强 2007 56 4383]
[14] Tang T Q,Huang H J,Wong S C,Jiang R 2009 Chin. Phys. B 18 975
[15] Tang T Q,Huang H J,Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) [唐铁桥、黄海军、薛 郁 2006 55 4026]
[16] Tang T Q,Huang H J,Xu G,Xue Y 2008 Acta Phys. Sin. 57 56 (in Chinese) [唐铁桥、黄海军、薛 郁 2006 57 56]
[17] Kuang H,Kong L J,Liu M R 2004 Acta Phys. Sin. 53 2894 (in Chinese) [邝 华、孔令江、刘慕仁 2004 53 2894]
[18] Kuang H,Kong L J,Liu M R 2004 Acta Phys. Sin. 53 4138 (in Chinese) [邝 华、孔令江、刘慕仁 2004 53 4138]
[19] Zheng R S,Tan H L,Kong L J,Liu M R 2005 Acta Phys. Sin. 54 3516 (in Chinese) [郑容森、谭惠丽、孔令江、刘慕仁 2005 54 3516]
[20] Wu K F,Kong L J,Liu M R 2006 Acta Phys. Sin. 55 6275 (in Chinese) [吴可非、孔令江、刘慕仁 2006 55 6275]
[21] Xiao R J,Kong L J,Liu M R 2007 Acta Phys. Sin. 56 740 (in Chinese) [肖瑞杰、孔令江、刘慕仁 2007 56 740]
[22] Qian Y S,Wang H L,Wang C L 2008 Acta Phys. Sin. 57 2115 (in Chinese) [钱勇生、汪海龙、王春雷 2008 57 2115]
[23] Li X G,Gao Z Y,Zhao X M,Jia B 2008 Acta Phys. Sin. 57 4777 (in Chinese) [李新刚、高自友、赵小梅、贾 斌 2008 57 4777]
[24] Tian H H,Xue Y,Kang S J,Liang X J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢、薛 郁、康三军、梁玉娟 2009 58 4506]
[25] Tang T Q,Huang H J,Wong S C,Jiang R 2009 Acta Mech. Sin. 24 399
[26] Tang T Q,Wong S C,Huang H J,Zhang P 2009 Journal of Advanced Transportation 43 245
[27] Peng G H,Sun D H,He H P 2009 Chin. Phys. B 18 468
[28] Peng G H,Sun D H 2009 Chin. Phys. B 18 5420
[29] Yang X B 2009 Acta Phys. Sin. 58 836 (in Chinese) [杨小宝 2009 58 836]
[30] Zhang W,Zhang W,Yang X Q 2008 Physica A 387 4657
[31] Huang D W 2002 Phys. Rev. E 66 026124
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[1] Chowdhury D,Santen L,Schadschneider A 2000 Phys. Rep. 329 199
[2] Bando M,Hasebe K,Nakayama A,Shibata A,Sugiyama Y 1995 Phys. Rev. E 51 1035
[3] Helbing D,Tilch B 1998 Phys. Rev. E 58 133
[4] Jiang R,Wu Q S,Zhu Z J 2001 Phys. Rev. E 64 017101
[5] Xue Y 2002 Chin. Phys. 11 1128
[6] 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]
[7] Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛 郁 2003 52 2750]
[8] Li Z P,Liu Y C 2006 Chin. Phys. 15 1570
[9] Nagatani T 1999 Phys Rev. E 60 6395
[10] Ge H X,Dai S Q,Dong L Y,Xue Y 2004 Phys. Rev. E 70 066134
[11] Zhao X M,Gao Z Y 2005 Eur. Phys. J. B 47 145
[12] Wang T,Gao Z Y,Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese) [王 涛、高自友、赵小梅 2006 55 634]
[13] Han X L,Jiang C Y,Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临、姜长元、葛红霞、戴世强 2007 56 4383]
[14] Tang T Q,Huang H J,Wong S C,Jiang R 2009 Chin. Phys. B 18 975
[15] Tang T Q,Huang H J,Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) [唐铁桥、黄海军、薛 郁 2006 55 4026]
[16] Tang T Q,Huang H J,Xu G,Xue Y 2008 Acta Phys. Sin. 57 56 (in Chinese) [唐铁桥、黄海军、薛 郁 2006 57 56]
[17] Kuang H,Kong L J,Liu M R 2004 Acta Phys. Sin. 53 2894 (in Chinese) [邝 华、孔令江、刘慕仁 2004 53 2894]
[18] Kuang H,Kong L J,Liu M R 2004 Acta Phys. Sin. 53 4138 (in Chinese) [邝 华、孔令江、刘慕仁 2004 53 4138]
[19] Zheng R S,Tan H L,Kong L J,Liu M R 2005 Acta Phys. Sin. 54 3516 (in Chinese) [郑容森、谭惠丽、孔令江、刘慕仁 2005 54 3516]
[20] Wu K F,Kong L J,Liu M R 2006 Acta Phys. Sin. 55 6275 (in Chinese) [吴可非、孔令江、刘慕仁 2006 55 6275]
[21] Xiao R J,Kong L J,Liu M R 2007 Acta Phys. Sin. 56 740 (in Chinese) [肖瑞杰、孔令江、刘慕仁 2007 56 740]
[22] Qian Y S,Wang H L,Wang C L 2008 Acta Phys. Sin. 57 2115 (in Chinese) [钱勇生、汪海龙、王春雷 2008 57 2115]
[23] Li X G,Gao Z Y,Zhao X M,Jia B 2008 Acta Phys. Sin. 57 4777 (in Chinese) [李新刚、高自友、赵小梅、贾 斌 2008 57 4777]
[24] Tian H H,Xue Y,Kang S J,Liang X J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢、薛 郁、康三军、梁玉娟 2009 58 4506]
[25] Tang T Q,Huang H J,Wong S C,Jiang R 2009 Acta Mech. Sin. 24 399
[26] Tang T Q,Wong S C,Huang H J,Zhang P 2009 Journal of Advanced Transportation 43 245
[27] Peng G H,Sun D H,He H P 2009 Chin. Phys. B 18 468
[28] Peng G H,Sun D H 2009 Chin. Phys. B 18 5420
[29] Yang X B 2009 Acta Phys. Sin. 58 836 (in Chinese) [杨小宝 2009 58 836]
[30] Zhang W,Zhang W,Yang X Q 2008 Physica A 387 4657
[31] Huang D W 2002 Phys. Rev. E 66 026124
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