2.3k citations · 13.8k across the 135 of their papers we have counts for
6 papers · 1 filter
On the ubiquity of matrix-product states in one-dimensional stochastic processes with boundary interactions
K. Klauck, A. Schadschneider
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 an…
Spatio-temporal organization of vehicles in a cellular automata model of traffic with 'slow-to-start' rule
Debashish Chowdhury, Ludger Santen, Andreas Schadschneider +2
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 (NaS…
Disorder effects in cellular automata for two-lane traffic
Wolfgang Knospe, Ludger Santen, Andreas Schadschneider +1
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. Sur…
Self-organization of traffic jams in cities: effects of stochastic dynamics and signal periods
Debashish Chowdhury, Andreas Schadschneider
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 t…
Metastable States in Cellular Automata for Traffic Flow
R. Barlovic, L. Santen, A. Schadschneider +1
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…
Garden of Eden states in traffic models
Andreas Schadschneider, Michael Schreckenberg
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 spac…