Enhanced empirical data for the fundamental diagram and the flow through bottlenecks (2008)
Seyfried, A., Boltes, M., Kähler, J., Klingsch, W., Portz, A., Rupprecht, T., ...
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...
Simulation of Vehicular Traffic: A Statistical Physics Perspective (2007)
D. Chowdhury, L. Santen, A. Schadschneider
894> 14 The Nagel-Schreckenberg model of highway traffic Alan isrepresenA--- by a 1D lattice. Each of the lattice sitesrepresenE a cell thatcan be either empty or occupied by at most on vehicle at...
Europhysics Letters PREPRINT Exact stationary state of a staggered hopping model (2007)
K. Klauck, A. Schadschneider, J. Zittartz
Abstract. { In this letter, the N-particle stationary states of a staggered hopping model with re ective boundaries will be calculated. The calculations rely on the fact that the stationary states...
Tomoeda, A., Nishinari, K., Chowdhury, D., Schadschneider, A.
A new public conveyance model applicable to buses and trains is proposed in this paper by using stochastic cellular automaton. We have found the optimal density of vehicles, at which the average...
Boundary-induced phase transitions in traffic flow (2007)
Popkov, V., Santen, L., Schadschneider, A., Schutz, G. M.
Boundary-induced phase transitions are one of the surprising phenomena appearing in nonequilibrium systems. These transitions have been found in driven systems, especially the asymmetric simple...
Triplet superconductivity in a 1D itinerant electron system with transverse spin anisotropy (2006)
Dziurzik, C., Japaridze, G. I., Schadschneider, A., Titvinidze, I., Zittartz, J.
In this paper we study the ground state phase diagram of a one-dimensional t-J-U model away from half-filling. In the large-bandwidth limit and for ferromagnetic exchange with easy-plane anisotropy a...
Triplet superconductivity in a 1D itinerant electron system with transverse spin anisotropy (2006)
Dziurzik, C., Japaridze, G. I., Schadschneider, A., Titvinidze, I., Zittartz, J.
Collective traffic-like movement of ants on a trail: dynamical phases and phase transitions (2004)
Kunwar, A., John, A., Nishinari, K., Schadschneider, A., Chowdhury, D.
The traffic-like collective movement of ants on a trail can be described by a stochastic cellular automaton model. We have earlier investigated its unusual flow-density relation by using various mean...
Dziurzik, C., Japaridze, G. I., Schadschneider, A., Zittartz, J.
In this paper we study the ground state phase diagram of a one-dimensional $t-U-J$ model, at half-filling. In the large-bandwidth limit and for ferromagnetic exchange with easy-plane anisotropy, a...
Platoon formation in a traffic model with variable anticipation (2003)
Larraga, M. E., Del Rio, J. A., Schadschneider, A.
A cellular automaton model of traffic flow taking into account velocity anticipation is introduced. The strength of anticipation can be varied which allows to describe different driving schemes. We...
Excitations of anisotropic spin-1 chains with matrix product ground state (2003)
Bartel, E., Schadschneider, A., Zittartz, J.
We investigate a large class of antiferromagnetic spin-1 chains with nearest neighbour interaction and exactly known matrix product ground state. The spectrum of low-lying excitations is calculated...
Stochastic Light-Cone CTMRG: a new DMRG approach to stochastic models (2002)
Kemper, A., Gendiar, A., Nishino, T., Schadschneider, A., Zittartz, J.
We develop a new variant of the recently introduced stochastic transfer-matrix DMRG which we call stochastic light-cone corner-transfer-matrix DMRG (LCTMRG). It is a numerical method to compute...
Exact ground states of spin-2 chains (2002)
Ahrens, M. A., Schadschneider, A., Zittartz, J.
We use the matrix product approach to construct all optimum ground states of general anisotropic spin-2 chains with nearest neighbour interactions and common symmetries. These states are exact ground...
A realistic two-lane traffic model for highway traffic (2002)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.
A two-lane extension of a recently proposed cellular automaton model for traffic flow is discussed. The analysis focuses on the reproduction of the lane usage inversion and the density dependence of...
Localized defects in a cellular automaton model for traffic flow with phase separation (2001)
Pottmeier, A., Barlovic, R., Knospe, W., Schadschneider, A., Schreckenberg, M.
We study the impact of a localized defect in a cellular automaton model for traffic flow which exhibits metastable states and phase separation. The defect is implemented by locally limiting the...
Transfer-matrix DMRG for stochastic models: The Domany-Kinzel cellular automaton (2001)
Kemper, A., Schadschneider, A., Zittartz, J.
We apply the transfer-matrix DMRG (TMRG) to a stochastic model, the Domany-Kinzel cellular automaton, which exhibits a non-equilibrium phase transition in the directed percolation universality class....
Simulation of pedestrian dynamics using a 2-dimensional cellular automaton (2001)
Burstedde, C., Klauck, K., Schadschneider, A., Zittartz, J.
We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions between the...
Optimizing traffic lights in a cellular automaton model for city traffic (2001)
Barlovic, R., Brockfeld, Elmar, Schadschneider, A., Schreckenberg, M.
Boundary-induced phase transitions in traffic flow (2000)
Popkov, V., Santen, L., Schadschneider, A., Schutz, G. M.
Boundary-induced phase transitions are one of the surprising phenomena appearing in nonequilibrium systems. These transitions have been found in driven systems, especially the asymmetric simple...
CA Models for Traffic Flow: Comparison with Empirical Single-Vehicle Data (2000)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.
Although traffic simulations with cellular-automata models give meaningful results compared with empirical data, highway traffic requires a more detailed description of the elementary dynamics. Based...
Effect of on- and off-ramps in cellular automata models for traffic flow (2000)
Diedrich, G., Santen, L., Schadschneider, A., Zittartz, J.
We present results on the modeling of on- and off-ramps in cellular automata for traffic flow, especially the Nagel-Schreckenberg model. We study two different types of on-ramps that cause...
Statistical Analysis of Freeway Traffic (1999)
Neubert, L., Santen, L., Schadschneider, A., Schreckenberg, M.
Single-vehicle data of freeway traffic as well as selected Floating-Car (FC) data are analyzed in great detail. Traffic states are distinguished by means of aggregated data. We propose a method for a...
A new cellular automata model for city traffic (1999)
Schadschneider, A., Chowdhury, D., Brockfeld, E., Klauck, K., Santen, L., Zittartz, J.
We present a new cellular automata model of vehicular traffic in cities by combining ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schreckenberg (NaSch)...
Single-vehicle data of highway traffic - a statistical analysis (1999)
Neubert, L., Santen, L., Schadschneider, A., Schreckenberg, M.
In the present paper single-vehicle data of highway traffic are analyzed in great detail. By using the single-vehicle data directly empirical time-headway distributions and speed-distance relations...
Optimum ground states of generalized Hubbard models with next-nearest neighbour interaction (1999)
Dziurzik, C., Schadschneider, A., Zittartz, J.
We investigate the stability domains of ground states of generalized Hubbard models with next-nearest neighbour interaction using the optimum groundstate approach. We focus on the $\eta$-pairing...
Klauck, K., Schadschneider, A.
Recently it has been shown that the zero-energy eigenstate -- corresponding to the stationary state -- of a stochastic Hamiltonian with nearest-neighbour interaction in the bulk and single-site...
Metastable States in Cellular Automata for Traffic Flow (1998)
Barlovic, R., Santen, L., Schadschneider, A., Schreckenberg, M.
Measurements on real traffic have revealed the existence of metastable states with very high flow. Such states have not been observed in the Nagel-Schreckenberg (NaSch) model which is the basic...
Disorder Effects in CA-Models for Traffic Flow (1997)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.
We investigate the effect of quenched disorder in the Nagel-Schreckenberg model of traffic flow. Spatial inhomogenities, i.e. lattice sites where the braking probability is enlarged, are considered...
Metastable States in CA models for Traffic Flow (1997)
Barlovic, R., Santen, L., Schadschneider, A., Schreckenberg, M.
Measurements of traffic flow show the existence of metastable states of very high throughput. These observations cannot be reproduced by the CA model of Nagel and Schreckenberg (NaSch model), not...
Jamming Transition in CA Models for Traffic Flow (1997)
Santen, L., Schadschneider, A.
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 point with...
The asymmetric exclusion process: Comparison of update procedures (1997)
Rajewsky, N., Santen, L., Schadschneider, A., Schreckenberg, M.
The asymmetric exclusion process (ASEP) has attracted a lot of interest not only because its many applications, e.g. in the context of the kinetics of biopolymerization and traffic flow theory, but...
Jamming transition in a cellular automaton model for traffic flow (1997)
Eisenblaetter, B., Santen, L., Schadschneider, A., Schreckenberg, M.
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 point with...
The asymmetric exclusion model with sequential update (1996)
Rajewsky, N., Schadschneider, A., Schreckenberg, M.
We present a solution for the stationary state of an asymmetric exclusion model with sequential update and open boundary conditions. We solve the model exactly for random hopping in both directions...
The Kasteleyn model and a cellular automaton approach to traffic flow (1995)
Brankov, J. G., Priezzhev, V. B., Schadschneider, A., Schreckenberg, M.
We propose a bridge between the theory of exactly solvable models and the investigation of traffic flow. By choosing the activities in an apropriate way the dimer configurations of the Kasteleyn...
Pair correlation functions in one-dimensional correlated-hopping models (1995)
Quaisser, M., Schadschneider, A., Zittartz, J.
We investigate ground-state properties of two correlated-hopping electron models, the Hirsch and the Bariev model. Both models are of recent interest in the context of hole superconductivity....
Discrete stochastic models for traffic flow (1994)
Schreckenberg, M., Schadschneider, A., Nagel, K., Ito, N.
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...
Albertini, G., Korepin, V. E., Schadschneider, A.
We consider the limit of strong Coulomb attraction for generalized Hubbard models with $\eta$-symmetry. In this limit these models are equivalent to the ferromagnetic spin-1/2 Heisenberg quantum spin...
Critical exponents of a multicomponent anisotropic t-J model in one dimension (1994)
Bariev, R. Z., Klümper, A., Schadschneider, A., Zittartz, J.
A recently presented anisotropic generalization of the multicomponent supersymmetric $t-J$ model in one dimension is investigated. This model of fermions with general spin-$S$ is solved by Bethe...
Exact solution of a one-dimensional fermion model with interchain tunneling (1994)
Bariev, R. Z., Klümper, A., Schadschneider, A., Zittartz, J.
A fermion model consisting of two chains with interchain tunneling is formulated and solved exactly by the Bethe ansatz method. The interchain tunneling leads to Cooper pair like bound states and a...
Reentrant Behavior in the Domany-Kinzel Cellular Automaton (1994)
Rieger, H., Schadschneider, A., Schreckenberg, M.
We present numerical and analytical results for a special kind of one-dimensional probabilistic cellular automaton, the so called Domany-Kinzel automaton. It is shown that the phase boundary...
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...
Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets (1993)
Klümper, A., Schadschneider, A., Zittartz, J.
We have found the exact groundstate for a large class of antiferromagnetic spin-1 models with nearest-neighbour interactions on a linear chain. All groundstate properties can be calculated. The...
Cellular automaton models and traffic flow (1993)
Schadschneider, A., Schreckenberg, M.
A recently introduced cellular automaton model for the description of traffic flow is investigated. It generalises asymmetric exclusion models which have attracted a lot of interest in the past. We...
Bariev, R. Z., Klümper, A., Schadschneider, A., Zittartz, J.
We investigate the excitation spectrum of a model of $N$ colour fermions with correlated hopping which can be solved by a nested Bethe ansatz. The gapless excitations of particle-hole type are...