486 research outputs found
Congested Traffic States in Empirical Observations and Microscopic Simulations
We present data from several German freeways showing different kinds of
congested traffic forming near road inhomogeneities, specifically lane
closings, intersections, or uphill gradients. The states are localized or
extended, homogeneous or oscillating. Combined states are observed as well,
like the coexistence of moving localized clusters and clusters pinned at road
inhomogeneities, or regions of oscillating congested traffic upstream of nearly
homogeneous congested traffic. The experimental findings are consistent with a
recently proposed theoretical phase diagram for traffic near on-ramps [D.
Helbing, A. Hennecke, and M. Treiber, Phys. Rev. Lett. {\bf 82}, 4360 (1999)].
We simulate these situations with a novel continuous microscopic single-lane
model, the ``intelligent driver model'' (IDM), using the empirical boundary
conditions. All observations, including the coexistence of states, are
qualitatively reproduced by describing inhomogeneities with local variations of
one model parameter.
We show that the results of the microscopic model can be understood by
formulating the theoretical phase diagram for bottlenecks in a more general
way. In particular, a local drop of the road capacity induced by parameter
variations has practically the same effect as an on-ramp.Comment: Now published in Phys. Rev. E. Minor changes suggested by a referee
are incorporated; full bibliographic info added. For related work see
http://www.mtreiber.de/ and http://www.helbing.org
Langevin equation approach to granular flows in narrow pipes
The flow of granular material through a rough narrow pipe is described by the
Langevin equation formalism. The stochastic force is caused by irregular
interaction between the wall and the granular particles. In correspondence with
experimental observations we find clogging and density waves in the flowing
material.Comment: 5 pages, 4 figure
Derivation, Properties, and Simulation of a Gas-Kinetic-Based, Non-Local Traffic Model
We derive macroscopic traffic equations from specific gas-kinetic equations,
dropping some of the assumptions and approximations made in previous papers.
The resulting partial differential equations for the vehicle density and
average velocity contain a non-local interaction term which is very favorable
for a fast and robust numerical integration, so that several thousand freeway
kilometers can be simulated in real-time. The model parameters can be easily
calibrated by means of empirical data. They are directly related to the
quantities characterizing individual driver-vehicle behavior, and their optimal
values have the expected order of magnitude. Therefore, they allow to
investigate the influences of varying street and weather conditions or freeway
control measures. Simulation results for realistic model parameters are in good
agreement with the diverse non-linear dynamical phenomena observed in freeway
traffic.Comment: For related work see
http://www.theo2.physik.uni-stuttgart.de/helbing.html and
http://www.theo2.physik.uni-stuttgart.de/treiber.htm
Enhanced empirical data for the fundamental diagram and the flow through bottlenecks
In recent years, several approaches for modelling pedestrian dynamics have
been proposed and applied e.g. for design of egress routes. However, so far not
much attention has been paid to their 'quantitative' validation. This
unsatisfactory situation belongs amongst others on the uncertain and
contradictory experimental data base. The fundamental diagram, i.e. the
density-dependence of the flow or velocity, is probably the most important
relation as it connects the basic parameter to describe the dynamic of crowds.
But specifications in different handbooks as well as experimental measurements
differ considerably. The same is true for the bottleneck flow. After a
comprehensive review of the experimental data base we give an survey of a
research project, including experiments with up to 250 persons performed under
well controlled laboratory conditions. The trajectories of each person are
measured in high precision to analyze the fundamental diagram and the flow
through bottlenecks. The trajectories allow to study how the way of measurement
influences the resulting relations. Surprisingly we found large deviation
amongst the methods. These may be responsible for the deviation in the
literature mentioned above. The results are of particular importance for the
comparison of experimental data gained in different contexts and for the
validation of models.Comment: A contribution to: Pedestrian and Evacuation Dynamics 2008 (Springer)
12 pages, 7 figure
Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
Cells are strongly out-of-equilibrium systems driven by continuous energy
supply. They carry out many vital functions requiring active transport of
various ingredients and organelles, some being small, others being large. The
cytoskeleton, composed of three types of filaments, determines the shape of the
cell and plays a role in cell motion. It also serves as a road network for the
so-called cytoskeletal motors. These molecules can attach to a cytoskeletal
filament, perform directed motion, possibly carrying along some cargo, and then
detach. It is a central issue to understand how intracellular transport driven
by molecular motors is regulated, in particular because its breakdown is one of
the signatures of some neuronal diseases like the Alzheimer.
We give a survey of the current knowledge on microtubule based intracellular
transport. We first review some biological facts obtained from experiments, and
present some modeling attempts based on cellular automata. We start with
background knowledge on the original and variants of the TASEP (Totally
Asymmetric Simple Exclusion Process), before turning to more application
oriented models. After addressing microtubule based transport in general, with
a focus on in vitro experiments, and on cooperative effects in the
transportation of large cargos by multiple motors, we concentrate on axonal
transport, because of its relevance for neuronal diseases. It is a challenge to
understand how this transport is organized, given that it takes place in a
confined environment and that several types of motors moving in opposite
directions are involved. We review several features that could contribute to
the efficiency of this transport, including the role of motor-motor
interactions and of the dynamics of the underlying microtubule network.
Finally, we discuss some still open questions.Comment: 74 pages, 43 figure
Empirical results for pedestrian dynamics and their implications for cellular automata models
A large number of models for pedestrian dynamics have been developed over the
years. However, so far not much attention has been paid to their quantitative
validation. Usually the focus is on the reproduction of empirically observed
collective phenomena, as lane formation in counterflow. This can give an
indication for the realism of the model, but practical applications, e.g. in
safety analysis, require quantitative predictions. We discuss the current
experimental situation, especially for the fundamental diagram which is the
most important quantity needed for calibration. In addition we consider the
implications for the modelling based on cellular automata. As specific example
the floor field model is introduced. Apart from the properties of its
fundamental diagram we discuss the implications of an egress experiment for the
relevance of conflicts and friction effects.Comment: 15 pages, 9 figure
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