Theory of traffic jam in a one-lane model

被引:38
作者
Hayakawa, H [1 ]
Nakanishi, K
机构
[1] Kyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan
[2] Shizuoka Univ, Dept Mech Engn, Hamamatsu, Shizuoka 432, Japan
来源
PHYSICAL REVIEW E | 1998年 / 57卷 / 04期
关键词
D O I
10.1103/PhysRevE.57.3839
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We propose a generalized optimal velocity model to describe one-lane traffic flows. We carry out a weakly nonlinear analysis based on the technique of soliton perturbations and determine the selected propagating velocity, amplitude, and width of the interface between a jam state and a nonjam state. From the direct simulation of the model, we have confirmed the validity of our theoretical analysis.
引用
收藏
页码:3839 / 3845
页数:7
相关论文
共 40 条
[1]   Convective roll patterns in vertically vibrated beds of granules [J].
Aoki, KM ;
Akiyama, T ;
Maki, Y ;
Watanabe, T .
PHYSICAL REVIEW E, 1996, 54 (01) :874-883
[2]   DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION [J].
BANDO, M ;
HASEBE, K ;
NAKAYAMA, A ;
SHIBATA, A ;
SUGIYAMA, Y .
PHYSICAL REVIEW E, 1995, 51 (02) :1035-1042
[3]   A NEW THEORY OF THE INSTABILITY OF A UNIFORM FLUIDIZED-BED [J].
BATCHELOR, GK .
JOURNAL OF FLUID MECHANICS, 1988, 193 :75-110
[4]   Renormalization group and singular perturbations: Multiple scales, boundary layers, and reductive perturbation theory [J].
Chen, LY ;
Goldenfeld, N ;
Oono, Y .
PHYSICAL REVIEW E, 1996, 54 (01) :376-394
[5]  
DOI M, 1992, J PHYS II, V2, P1631, DOI 10.1051/jp2:1992225
[6]   EQUATION-OF-MOTION FOR INTERACTING PULSES [J].
EI, S ;
OHTA, T .
PHYSICAL REVIEW E, 1994, 50 (06) :4672-4678
[7]   SMALL FROUDE-NUMBER ASYMPTOTICS IN 2-DIMENSIONAL 2-PHASE FLOWS [J].
GOZ, MF .
PHYSICAL REVIEW E, 1995, 52 (04) :3697-3710
[8]   Thermodynamic theory of weakly excited granular systems [J].
Hayakawa, H ;
Hong, DC .
PHYSICAL REVIEW LETTERS, 1997, 78 (14) :2764-2767
[9]   HYDRODYNAMIC DESCRIPTION OF GRANULAR CONVECTION [J].
HAYAKAWA, H ;
YUE, S ;
HONG, DC .
PHYSICAL REVIEW LETTERS, 1995, 75 (12) :2328-2331
[10]   DYNAMICS OF GRANULAR MATTER [J].
HAYAKAWA, H ;
NISHIMORI, H ;
SASA, S ;
TAGUCHI, Y .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1995, 34 (2A) :397-408