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Asymmetric exclusion processes with shuffled dynamics
Marko Woelki, Andreas Schadschneider, Michael Schreckenberg
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 partic…
Physics of Transport and Traffic Phenomena in Biology: from molecular motors and cells to organisms
Debashish Chowdhury, Andreas Schadschneider, Katsuhiro Nishinari
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…
Intra-cellular transport of single-headed molecular motors KIF1A
Katsuhiro Nishinari, Yasushi Okada, Andreas Schadschneider +1
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…
Exact ground states of quantum spin-2 models on the hexagonal lattice
Marc Andre Ahrens, Andreas Schadschneider, Johannes Zittartz
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 d…