arXiv subjects

Kai Klauck

Publications and source records attributed to Kai Klauck.

2 recordsLinked to original sources

arXiv2001

Cellular Automaton Approach to Pedestrian Dynamics - Applications

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 encountered in pedestrian traffic, e.g. lane formation in counterflow through a large corridor and oscillations at doors. Furthermore we present simple examples where the model is applied to the simulation of evacuation processes.

cond-mat.stat-mech↗

arXiv2001

Exact stationary state of a staggered stochastic hopping model

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. Recursion relations in the particle number for any $l$-point density correlation function will be derived. Furthermore, the connection between reflective boundaries and the occurrence of optimum ground states is examined. An explicit counterexample shows that reflective boundaries do not enforce the stationary state to be an optimum ground state.

cond-mat.stat-mech↗