2.3k citations · 13.8k across the 135 of their papers we have counts for
11 papers · 1 filter
Single-vehicle data of highway traffic - a statistical analysis
L. Neubert, L. Santen, A. Schadschneider +1
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-d…
The asymmetric exclusion model with sequential update
N. Rajewsky, A. Schadschneider, M. Schreckenberg
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 i…
The Kasteleyn model and a cellular automaton approach to traffic flow
J. G. Brankov, V. B. Priezzhev, A. Schadschneider +1
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…
Cellular Automata For Traffic Flow: Analytical Results
Andreas Schadschneider, Michael Schreckenberg
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, respec…
Exact ground states of generalized Hubbard models
Jan de Boer, Andreas Schadschneider
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 th…
Discrete stochastic models for traffic flow
M. Schreckenberg, A. Schadschneider, K. Nagel +1
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 e…
Superconductivity in an exactly solvable Hubbard model with bond-charge interaction
Andreas Schadschneider
The Hubbard model with an additional bond-charge interaction is solved exactly in one dimension for the case where is the hopping amplitude. In this case the number o…
model as effective Hamiltonian for generalized Hubbard models with broken -symmetry
G. Albertini, V. E. Korepin, A. Schadschneider
We consider the limit of strong Coulomb attraction for generalized Hubbard models with -symmetry. In this limit these models are equivalent to the ferromagnetic spin-1/2 Heisenb…
-pairing as a mechanism of superconductivity in models of strongly correlated electrons
Jan de Boer, Vladimir E. Korepin, Andreas Schadschneider
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…
Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
A. Klümper, A. Schadschneider, J. Zittartz
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 ca…
Critical exponents of the degenerate Hubbard model
Holger Frahm, Andreas Schadschneider
We study the critical behaviour of the \SUN{} generalization of the one-dimensional Hubbard model with arbitrary degeneracy . Using the integrability of this model by Bethe Ansa…