Correlation functions in the Nagel-Schreckenberg model

Citation
S. Cheybani et al., Correlation functions in the Nagel-Schreckenberg model, J PHYS A, 31(49), 1998, pp. 9787-9799
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
31
Issue
49
Year of publication
1998
Pages
9787 - 9799
Database
ISI
SICI code
0305-4470(199812)31:49<9787:CFITNM>2.0.ZU;2-L
Abstract
We investigate the effect of the jamming transition oa short-range correlat ion functions in the Nagel-Schreckenberg cellular automaton model of single -lane traffic. At high densities the structure of the time-dependent correl ation 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 occu rrence of short-range anticorrelations behind the propagating peak is relat ed to the jamming transition. At even higher densities the peak correspondi ng to moving cars disappears which is an indication of a superjamming trans ition.