Statistical physics of vehicular traffic and some related systems

D Chowdhury, L Santen, A Schadschneider - Physics Reports, 2000 - Elsevier
In the so-called “microscopic” models of vehicular traffic, attention is paid explicitly to each
individual vehicle each of which is represented by a “particle”; the nature of the “interactions” …

Traffic flow in 1D cellular automaton model including cars moving with high speed

M Fukui, Y Ishibashi - Journal of the Physical Society of Japan, 1996 - jstage.jst.go.jp
抄録 Traffic flow is simulated by one-dimensional cellular automaton (CA) model including
cars moving with high speed. The simulation shows a phase transition between the moving …

Particle hopping models and traffic flow theory

K Nagel - Physical review E, 1996 - APS
This paper shows how particle hopping models fit into the context of traffic flow theory, that
is, it shows connections between fluid-dynamical traffic flow models, which derive from the …

Self-organized phase transitions in cellular automaton models for pedestrians

M Fukui, Y Ishibashi - Journal of the physical society of Japan, 1999 - journals.jps.jp
Cellular automaton models for walking of pedestrians are studied in a system where one
pedestrian and many pedestrians walk in the opposite direction and encounter each other …

Traffic at the edge of chaos

K Nagel, S Rasmussen - 1994 - arxiv.org
We use a very simple description of human driving behavior to simulate traffic. The regime of
maximum vehicle flow in a closed system shows near-critical behavior, and as a result a …

Simplified cellular automaton model for city traffic

PM Simon, K Nagel - Physical review E, 1998 - APS
We systematically investigate the effect of blockage sites in a cellular automaton model for
traffic flow. Different scheduling schemes for the blockage sites are considered. None of …

Jamming transition in a cellular automaton model for traffic flow

B Eisenblätter, L Santen, A Schadschneider… - Physical Review E, 1998 - APS
The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow
phase to a congested phase. In the deterministic case this transition corresponds to a critical …

Car accidents and number of stopped cars due to road blockage on a one-lane highway

N Boccara, H Fuks, Q Zeng - Journal of Physics A: Mathematical …, 1997 - iopscience.iop.org
Within the framework of a simple model of car traffic on a one-lane highway, we study the
probability of the occurrence of car accidents when drivers do not respect the safety distance …

Vehicular traffic: A system of interacting particles driven far from equilibrium

D Chowdhury, L Santen, A Schadschneider - Current Science, 1999 - JSTOR
In recent years statistical physicists have developed discrete'particle-hopping'models of
vehicular traffic, usually formulated in terms of cellular automata, which are similar to the …

[PS][PS] High speed microsimulations of tra $ c# ow

K Nagel - PhDthesis, Universityof Cologne, Koln, Germany, 1995 - svn.vsp.tu-berlin.de
Tra c jams are annoying, cost money, and pollute the environment. Meanwhile, tra c jams
are only the most visible part of a far bigger problem: In the western part of Germany1 alone …