An Experimental Study of Pedestrian Congestions: Influence of Bottleneck Width and Length (2009)
Liddle, Jack, Seyfried, Armin, Klingsch, Wolfram, Rupprecht, Tobias, Schadschneider, Andreas, Winkens, Andreas
The placement and dimensioning of exit routes is informed by experimental data and theoretical models. The experimental data is still to a large extent uncertain and contradictory. In this...
Quantitative Description of Pedestrian Dynamics with a Force based Model (2009)
Chraibi, Mohcine, Seyfried, Armin, Schadschneider, Andreas, Mackens, Wolfgang
This paper introduces a space-continuous force-based model for simulating pedestrian dynamics. The main interest of this work is the quantitative description of pedestrian movement through a...
Trafficlike collective movement of ants on trails: absence of jammed phase (2009)
John, Alexander, Schadschneider, Andreas, Chowdhury, Debashish, Nishinari, Katsuhiro
We report experimental results on unidirectional traffic-like collective movement of ants on trails. Our work is primarily motivated by fundamental questions on the collective spatio-temporal...
John, Alexander, Schadschneider, Andreas, Chowdhury, Debashish, Nishinari, Katsuhiro
We investigate the organization of traffic flow on preexisting uni- and bidirectional ant trails. Our investigations comprise a theoretical as well as an empirical part. We propose minimal models of...
Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics (2008)
Greulich, Philip, Schadschneider, Andreas
The asymmetric simple exclusion process with additional Langmuir kinetics, i.e. attachment and detachment in the bulk, is a paradigmatic model for intracellular transport. Here we study this model in...
Pedestrian Traffic Simulation and Experiments (2008)
Vom Fachbereich Physik, Referent Prof, Dr. Michael Schreckenberg, Korreferent Prof, Dr. Andreas Schadschneider
Contents i Abstract v
Quantum Corner-Transfer Matrix DMRG (2008)
Bartel, Erik, Schadschneider, Andreas
We propose a new method for the calculation of thermodynamic properties of one-dimensional quantum systems by combining the TMRG approach with the corner transfer-matrix method. The corner...
Evacuation Dynamics: Empirical Results, Modeling and Applications (2008)
Schadschneider, Andreas, Klingsch, Wolfram, Kluepfel, Hubert, Kretz, Tobias, Rogsch, Christian, Seyfried, Armin
This extensive review was written for the ``Encyclopedia of Complexity and System Science'' (Springer, 2008) and addresses a broad audience ranging from engineers to applied mathematicians, computer...
Intra-cellular traffic: bio-molecular motors on filamentary tracks (2008)
Chowdhury, Debashish, Basu, Aakash, Garai, Ashok, Greulich, Philip, Nishinari, Katsuhiro, Schadschneider, Andreas, ...
Molecular motors are macromolecular complexes which use some form of input energy to perform mechanical work. The filamentary tracks, on which these motors move, are made of either proteins (e.g.,...
Greulich, Philip, Schadschneider, Andreas
We investigate the effects of disorder on driven lattice gases with open boundaries using the totally asymmetric simple exclusion process as a paradigmatic example. Disorder is realized by randomly...
Debashish Chowdhury, Ludger Santen, Andreas Schadschneider, Shishir Sinha, Abhay Pasupathy
: The spatio-temporal organizations of vehicular traffic in cellular-automata models with "slow-to-start" rules are qualitatively different from those in the NagelSchreckenberg (NaSch)...
Alireza Namazi, Nils Eissfeldt, Peter Wagner, Andreas Schadschneider
(will be inserted by the editor) Boundary-induced phase transitions in a space-continuous trac model with non-unique ow-density relation
We consider generalized Hubbard models in arbitrary dimensions which have additional nearest-neigbour interactions. It is shown that in a large region of the parameter space these models have ground...
Robert Barlovic, Andreas Schadschneider, Michael Schreckenberg
Random walk theory of jamming in a cellular automaton model for trac ow
Holger Frahm, Andreas Schadschneider
Studies of exactly soluble models for correlated electrons in one dimension have attracted wide spread interest in recent years. The reason for this is simple: they provide rigourous results on the...
Asymmetric Random Average Process: Aggregation and Fragmentation on Continuous State Space (2007)
Frank Zielen, Andreas Schadschneider
A simple analytically treatable stochastic process on continuous state space, the asymmetric random average process, with a broad range of applications in trac ow theory, internet modeling and...
Cellular automaton simulations of pedestrian dynamics and evacuation processes (2007)
Ansgar Kirchner, Andreas Schadschneider
We present applications and numerical results for a bionics-inspired cellular automaton approach to pedestrian dynamics [1,2]. The model is able to reproduce collective effects and self-organization...
Phase diagram and edge effects in the ASEP with bottlenecks (2007)
Greulich, Philip, Schadschneider, Andreas
We investigate the totally asymmetric simple exclusion process (TASEP) in the presence of a bottleneck, i.e. a sequence of consecutive defect sites with reduced hopping rate. The influence of such a...
Modelling of self-driven particles: foraging ants and pedestrians (2007)
Nishinari, Katsuhiro, Sugawara, Ken, Kazama, Toshiya, Schadschneider, Andreas, Chowdhury, Debashish
Models for the behavior of ants and pedestrians are studied in an unified way in this paper. Each ant follows pheromone put by preceding ants, hence creating a trail on the ground, while pedestrians...
Traffic phenomena in biology: from molecular motors to organisms (2007)
Chowdhury, Debashish, Schadschneider, Andreas, Nishinari, Katsuhiro
Traffic-like collective movements are observed at almost all levels of biological systems. Molecular motor proteins like, for example, kinesin and dynein, which are the vehicles of almost all...
Greulich, Philip, Garai, Ashok, Nishinari, Katsuhiro, Schadschneider, Andreas, Chowdhury, Debashish
In eukaryotic cells, many motor proteins can move simultaneously on a single microtubule track. This leads to interesting collective phenomena like jamming. Recently we reported ({\it Phys. Rev....
Statistical properties of online auctions (2006)
Namazi, Alireza, Schadschneider, Andreas
We characterize the statistical properties of a large number of online auctions run on eBay. Both stationary and dynamic properties, like distributions of prices, number of bids etc., as well as...
From aggressive driving to molecular motor traffic (2006)
Kunwar, Ambarish, Schadschneider, Andreas, Chowdhury, Debashish
Motivated by recent experimental results for the step sizes of dynein motor proteins, we develope a cellular automata model for intra-cellular traffic of dynein motors incorporating special features...
Competition of coarsening and shredding of clusters in a driven diffusive lattice gas (2006)
Kunwar, Ambarish, Chowdhury, Debashish, Schadschneider, Andreas, Nishinari, Katsuhiro
We investigate a driven diffusive lattice gas model with two oppositely moving species of particles. The model is motivated by bi-directional traffic of ants on a pre-existing trail. A third species,...
Asymmetric exclusion processes with shuffled dynamics (2005)
Wölki, Marko, Schadschneider, Andreas, Schreckenberg, Michael
The asymmetric simple exclusion process (ASEP) with periodic boundary conditions is investigated for shuffled dynamics. In this type of update, in each discrete timestep the particles are updated in...
Chowdhury, Debashish, Schadschneider, Andreas, Nishinari, Katsuhiro
Traffic-like collective movements are observed at almost all levels of biological systems. Molecular motor proteins like, for example, kinesin and dynein, which are the vehicles of almost all...
Intra-cellular transport of single-headed molecular motors KIF1A (2005)
Nishinari, Katsuhiro, Okada, Yasushi, Schadschneider, Andreas, Chowdhury, Debashish
Motivated by experiments on single-headed kinesin KIF1A, we develop a model of intra-cellular transport by interacting molecular motors. It captures explicitly not only the effects of ATP hydrolysis,...
Exact ground states of quantum spin-2 models on the hexagonal lattice (2005)
Ahrens, Marc Andre, Schadschneider, Andreas, Zittartz, Johannes
We construct exact non-trivial ground states of spin-2 quantum antiferromagnets on the hexagonal lattice. Using the optimum ground state approach we determine the ground state in different subspaces...
Kirchner, Ansgar, Kluepfel, Hubert, Nishinari, Katsuhiro, Schadschneider, Andreas, Schreckenberg, Michael
We study discretisation effects in cellular automata models for pedestrian dynamics by reducing the cell size. Then a particle occupies more than one cell which leads to subtle effects in the...
Collective effects in traffic on bi-directional ant-trails (2004)
John, Alexander, Schadschneider, Andreas, Chowdhury, Debashish, Nishinari, Katsuhiro
Motivated by recent experimental work of Burd et al., we propose a model of bi-directional ant-traffic on pre-existing ant-trails. It captures in a simple way some of the generic collective features...
An empirical test for cellular automaton models of traffic flow (2004)
Knospe, Wolfgang, Santen, Ludger, Schadschneider, Andreas, Schreckenberg, Michael
Based on a detailed microscopic test scenario motivated by recent empirical studies of single-vehicle data, several cellular automaton models for traffic flow are compared. We find three levels of...
Kemper, Andreas, Schadschneider, Andreas
We investigate the thermodynamics of a one-dimensional Hubbard model with bond-charge interaction X using the transfer matrix renormalization group method (TMRG). Numerical results for various...
Chowdhury, Debashish, Nishinari, Katsuhiro, Schadschneider, Andreas
Flocks of birds and schools of fish are familiar examples of spatial patterns formed by living organisms. In contrast to the patterns on the skins of, say, zebra and giraffe, the patterns of our...
A stochastic cellular automaton model for traffic flow with multiple metastable states (2003)
Nishinari, Katsuhiro, Fuku, Minoru, Schadschneider, Andreas
A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA...
Anomalous fundamental diagrams in traffic on ant trails (2003)
Schadschneider, Andreas, Chowdhury, Debashish, John, Alexander, Nishinari, Katsuhiro
Many insects like ants communicate chemically via chemotaxis. This allows them to build large trail systems which in many respects are similar to human-build highway networks. Using a recently...
Extended floor field CA model for evacuation dynamics (2003)
Nishinari, Katsuhiro, Kirchner, Ansgar, Namazi, Alireza, Schadschneider, Andreas
The floor field model, which is a cellular automaton model for studying evacuation dynamics, is investigated and extended. A method for calculating the static floor field, which describes the...
Optimal traffic states in a cellular automaton for city traffic (2003)
Barlovic, Robert, Brockfeld, Elmar, Schreckenberg, Michael, Schadschneider, Andreas
The impact of global traffic light control strategies for city networks is analyzed in a recently proposed cellular automaton model. The model combines basic ideas of the Biham-Middleton-Levine model...
Cluster formation and anomalous fundamental diagram in an ant trail model (2002)
Nishinari, Katsuhiro, Chowdhury, Debashish, Schadschneider, Andreas
A recently proposed stochastic cellular automaton model ({\it J. Phys. A 35, L573 (2002)}), motivated by the motions of ants in a trail, is investigated in detail in this paper. The flux of ants in...
Matrix product approach for the asymmetric random average process (2002)
Zielen, Frank, Schadschneider, Andreas
We consider the asymmetric random average process which is a one-dimensional stochastic lattice model with nearest neighbour interaction but continuous and unbounded state variables. First, the...
Friction effects and clogging in a cellular automaton model for pedestrian dynamics (2002)
Kirchner, Ansgar, Nishinari, Katsuhiro, Schadschneider, Andreas
We investigate the role of conflicts in pedestrian traffic, i.e. situations where two or more people try to enter the same space. Therefore a recently introduced cellular automaton model for...
Namazi, Alireza, Eissfeldt, Nils, Wagner, Peter, Schadschneider, Andreas
The Krauss-model is a stochastic model for traffic flow which is continuous in space. For periodic boundary conditions it is well understood and known to display a non-unique flow-density relation...
Optimization potential of a real highway network: an empirical study (2002)
Knospe, Wolfgang, Santen, Ludger, Schadschneider, Andreas, Schreckenberg, Michael
Empirical observations and theoretical studies indicate that the overall travel-time of vehicles in a traffic network can be optimized by means of ramp metering control systems. Here, we present an...
Kirchner, Ansgar, Schadschneider, Andreas
We present simulations of evacuation processes using a recently introduced cellular automaton model for pedestrian dynamics. This model applies a bionics approach to describe the interaction between...
Single-vehicle data of highway traffic: microscopic description of traffic phases (2002)
Knospe, Wolfgang, Santen, Ludger, Schadschneider, Andreas, Schreckenberg, Michael
We present a detailed analysis of single-vehicle data which sheds some light on the microscopic interaction of the vehicles. Besides the analysis of free flow and synchronized traffic the data sets...
Chowdhury, Debashish, Guttal, Vishwesha, Nishinari, Katsuhiro, Schadschneider, Andreas
Generically, in models of driven interacting particles the average speed of the particles decreases monotonically with increasing density. We propose a counter-example, motivated by the motion of...
Comment on `Garden of Eden states in traffic model revisited' (2002)
Schadschneider, Andreas, Schreckenberg, Michael
Recently, Huang and Lin suggested a combination of two successfull mean-field theories, the 2-cluster approximation and paradisical mean-field, for the Nagel-Schreckenberg cellular automaton model of...
Bionics-Inspired Cellular Automaton Model for Pedestrian Dynamics (2002)
We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. Inspired by the principles of chemotaxis the interactions between the pedestrians are mediated by a...
Cellular Automaton Approach to Pedestrian Dynamics - Theory (2001)
We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it...
Cellular Automaton Approach to Pedestrian Dynamics - Applications (2001)
Burstedde, Carsten, Kirchner, Ansgar, Klauck, Kai, Schadschneider, Andreas, Zittartz, Johannes
We present applications of a cellular automaton approach to pedestrian dynamics introduced in [1,2]. It is shown that the model is able to reproduce collective effects and self-organization phenomena...
Broken Ergodicity in a Stochastic Model with Condensation (2001)
Zielen, Frank, Schadschneider, Andreas
We introduce a variant of the asymmetric random average process with continuous state variables where the maximal transport is restricted by a cutoff. For periodic boundary conditions, we show the...
Exact stationary state of a staggered stochastic hopping model (2001)
Klauck, Kai, Schadschneider, Andreas, Zittartz, Johannes
We determine the $N$-particle stationary states of a staggered stochastic hopping model with reflective boundaries. It is shown that the stationary states are in fact so-called optimum ground states....
Human behavior as origin of traffic phases (2001)
Knospe, Wolfgang, Santen, Ludger, Schadschneider, Andreas, Schreckenberg, Michael
It is shown that the desire for smooth and comfortable driving is directly responsible for the occurrence of complex spatio-temporal structures (``synchronized traffic'') in highway traffic. This...
Optimizing Traffic Lights in a Cellular Automaton Model for City Traffic (2001)
Brockfeld, Elmar, Barlovic, Robert, Schadschneider, Andreas, Schreckenberg, Michael
We study the impact of global traffic light control strategies in a recently proposed cellular automaton model for vehicular traffic in city networks. The model combines basic ideas of the...
Exact Mean-Field Solutions of the Asymmetric Random Average Process (2001)
Zielen, Frank, Schadschneider, Andreas
We consider the asymmetric random average process (ARAP) with continuous mass variables and parallel discrete time dynamics studied recently by Krug/Garcia and Rajesh/Majumdar [both Jrl. Stat. Phys....
A Microscopic Model for Packet Transport in the Internet (2001)
Huisinga, Torsten, Barlovic, Robert, Knospe, Wolfgang, Schadschneider, Andreas, Schreckenberg, Michael
A microscopic description of packet transport in the Internet by using a simple cellular automaton model is presented. A generalised exclusion process is introduced which allows to study travel times...
Random walk theory of jamming in a cellular automaton model for traffic flow (2001)
Barlovic, Robert, Schadschneider, Andreas, Schreckenberg, Michael
The jamming behavior of a single lane traffic model based on a cellular automaton approach is studied. Our investigations concentrate on the so-called VDR model which is a simple generalization of...
Traffic flow: A statistical physics point of view (2001)
The investigation of trac ow problems has a long tradition and various methods and approaches have been applied. In this review we focus on statistical mechanics and nonequilibrium aspects. It is...
Towards a realistic microscopic description of highway traffic (2000)
Knospe, Wolfgang, Santen, Ludger, Schadschneider, Andreas, Schreckenberg, Michael
Simple cellular automata models are able to reproduce the basic properties of highway traffic. The comparison with empirical data for microscopic quantities requires a more detailed description of...
Statistical Physics of Traffic Flow (2000)
The modelling of traffic flow using methods and models from physics has a long history. In recent years especially cellular automata models have allowed for large-scale simulations of large traffic...
Statistical Physics of Vehicular Traffic and Some Related Systems (2000)
Chowdhury, Debashish, Santen, Ludger, Schadschneider, Andreas
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"...
Vehicular Traffic: A System of Interacting Particles Driven Far From Equilibrium (1999)
Chowdhury, Debashish, Santen, Ludger, Schadschneider, Andreas
In recent years statistical physicists have developed {\it discrete} "particle-hopping" models of vehicular traffic, usually formulated in terms of {\it cellular automata}, which are similar to the...
The Nagel-Schreckenberg model revisited (1999)
The Nagel-Schreckenberg model is a simple cellular automaton for a realistic description of single-lane traffic on highways. For the case $v_{max}=1$ the properties of the stationary state can be...
Traffic Flow Models With 'slow-to-Start' Rules (1999)
Andreas Schadschneider, Michael Schreckenberg
We investigate two models for traffic flow with modified acceleration ('slow-to-start') rules. Even in the simplest case v max = 1 these rules break the 'particle-hole` symmetry of the...
Disorder Effects in Cellular Automata for Two-Lane Traffic (1999)
Wolfgang Knospe, Ludger Santen, Andreas Schadschneider, Michael Schreckenberg
For single-lane traffic models it is well known that particle disorder leads to platoon formation at low densities. Here we discuss the effect of slow cars in two-lane systems. Surprisingly, even a...
Chowdhury, Debashish, Santen, Ludger, Schadschneider, Andreas, Sinha, Shishir, Pasupathy, Abhay
The spatio-temporal organizations of vehicular traffic in cellular-automata models with "slow-to-start" rules are qualitatively different from those in the Nagel-Schreckenberg (NaSch) model of...
Disorder effects in cellular automata for two-lane traffic (1998)
Knospe, Wolfgang, Santen, Ludger, Schadschneider, Andreas, Schreckenberg, Michael
For single-lane traffic models it is well known that particle disorder leads to platoon formation at low densities. Here we discuss the effect of slow cars in two-lane systems. Surprisingly, even a...
Chowdhury, Debashish, Schadschneider, Andreas
We propose a cellular automata model for vehicular traffic in cities by combining (and appropriately modifying) ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the...
Garden of Eden states in traffic models (1998)
Schadschneider, Andreas, Schreckenberg, Michael
We investigate the allowed configurations in the stationary state of the cellular automaton model for single-lane traffic. It is found that certain states in the configuration space can not be...
Analytical approaches to CA for traffic flow: Approximations and exact solutions (1997)
Cellular automata have turned out to be important tools for the simulation of traffic flow. They are designed for an efficient impletmentation on the computer, but hard to treat analytically. Here we...
Traffic flow models with 'slow-to-start' rules (1997)
Schadschneider, Andreas, Schreckenberg, Michael
We investigate two models for traffic flow with modified acceleration ('slow-to-start') rules. Even in the simplest case $v_{max}=1$ these rules break the 'particle-hole` symmetry of the model. We...
Car-Oriented Mean-Field Theory for Traffic Flow Models (1997)
Andreas Schadschneider, Michael Schreckenberg
We present a new analytical description of the cellular automaton model for singlelane traffic. In contrast to previous approaches we do not use the occupation number of sites as dynamical variable...
Car-oriented mean-field theory for traffic flow models (1996)
Schadschneider, Andreas, Schreckenberg, Michael
We present a new analytical description of the cellular automaton model for single-lane traffic. In contrast to previous approaches we do not use the occupation number of sites as dynamical variable...
Cellular Automata For Traffic Flow: Analytical Results (1995)
Schadschneider, Andreas, Schreckenberg, Michael
We use analytical methods to investigate cellular automata for traffic flow. Two different mean-field approaches are presented, which we call site-oriented and car-oriented, respectively. The...
Exact ground states of generalized Hubbard models (1995)
De Boer, Jan, Schadschneider, Andreas
We present a simple method for the construction of exact ground states of generalized Hubbard models in arbitrary dimensions. This method is used to derive rigorous criteria for the stability of...
Superconductivity in an exactly solvable Hubbard model with bond-charge interaction (1994)
The Hubbard model with an additional bond-charge interaction $X$ is solved exactly in one dimension for the case $t=X$ where $t$ is the hopping amplitude. In this case the number of doubly occupied...
$\eta$-pairing as a mechanism of superconductivity in models of strongly correlated electrons (1994)
De Boer, Jan, Korepin, Vladimir E., Schadschneider, Andreas
We consider extended versions of the Hubbard model which contain additional interactions between nearest neighbours. In this letter we show that a large class of these models has a superconducting...
AT ZU K OLN Report No. 94.172 DISCRETE STOCHASTIC MODELS FOR TRAFFIC FLOW by (1994)
Michael Schreckenberg, Andreas Schadschneider, Kai Nagel, Nobuyasu Ito, M. Schreckenberg, A. Schadschneider, ...
Discrete stochastic models for traffic flow
Discrete Stochastic Models For Traffic Flow (1994)
Michael Schreckenberg, Andreas Schadschneider, Kai Nagel, Nobuyasu Ito, M. Schreckenberg, A. Schadschneider, ...
We investigate a probabilistic cellular automaton model which has been introduced recently. This model describes single-lane traffic flow on a ring and generalizes the asymmetric exclusion process...
Garden of Eden states in traffic models (1993)
Andreas Schadschneider, Michael Schreckenberg
.<F3.733e+05> We investigate the allowed configurations in the stationary state of the cellular automaton model for single-lane traffic. It is found that certain states in the configuration...
Critical exponents of the degenerate Hubbard model (1992)
Frahm, Holger, Schadschneider, Andreas
We study the critical behaviour of the \SUN{} generalization of the one-dimensional Hubbard model with arbitrary degeneracy $N$. Using the integrability of this model by Bethe Ansatz we are able to...