Correlation functions in the Nagel-Schreckenberg model

被引:17
作者
Cheybani, S [1 ]
Kertész, J
Schreckenberg, M
机构
[1] Gerhard Mercator Univ, D-47048 Duisburg, Germany
[2] Tech Univ Budapest, Dept Theoret Phys, H-1111 Budapest, Hungary
[3] Helsinki Univ Technol, Lab Computat Engn, FIN-02150 Espoo, Finland
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 49期
关键词
D O I
10.1088/0305-4470/31/49/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the effect of the jamming transition oa short-range correlation functions in the Nagel-Schreckenberg cellular automaton model of single-lane traffic. At high densities the structure of the time-dependent correlation functions is double peaked. One peak corresponds to moving cars, the other to blocked cars. The emergence of the latter peak as well as the occurrence of short-range anticorrelations behind the propagating peak is related to the jamming transition. At even higher densities the peak corresponding to moving cars disappears which is an indication of a superjamming transition.
引用
收藏
页码:9787 / 9799
页数:13
相关论文
共 19 条
[11]   Cellular automata models of single-lane traffic [J].
Sasvari, M ;
Kertesz, J .
PHYSICAL REVIEW E, 1997, 56 (04) :4104-4110
[12]  
SCHADSCHNEIDER A, 1993, J PHYS A, V26, P679
[13]  
SCHADSCHNEIDER A, 1997, J PHYS A, V30, P669
[14]   DISCRETE STOCHASTIC-MODELS FOR TRAFFIC FLOW [J].
SCHRECKENBERG, M ;
SCHADSCHNEIDER, A ;
NAGEL, K ;
ITO, N .
PHYSICAL REVIEW E, 1995, 51 (04) :2939-2949
[15]   TIME-DEPENDENT CORRELATION-FUNCTIONS IN A ONE-DIMENSIONAL ASYMMETRIC EXCLUSION PROCESS [J].
SCHUTZ, G .
PHYSICAL REVIEW E, 1993, 47 (06) :4265-4277
[16]   GENERALIZED BETHE ANSATZ SOLUTION OF A ONE-DIMENSIONAL ASYMMETRIC EXCLUSION PROCESS ON A RING WITH BLOCKAGE [J].
SCHUTZ, G .
JOURNAL OF STATISTICAL PHYSICS, 1993, 71 (3-4) :471-505
[17]   1/f NOISE IN A TRAFFIC MODEL [J].
Takayasu, Misako ;
Takayasu, Hideki .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1993, 1 (04) :860-866
[18]  
WOLF DE, 1998, P INT WORKSH DUISB 1
[19]  
WOLF DE, 1996, P INT WORKSH JUL 199