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cond-mat.stat-mech2009★ 6 cited
Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections
Jakub Otwinowski, Stefan Boettcher
A non-equilibrium particle transport model, the totally asymmetric exclusion process, is studied on a one-dimensional lattice with a hierarchy of fixed long-range connections. This…
cond-mat.stat-mech2008★ 27 cited
Anomalous Diffusion on the Hanoi Networks
S. Boettcher, B. Goncalves
Diffusion is modeled on the recently proposed Hanoi networks by studying the mean- square displacement of random walks with time, <r^2>~t^{2/d_w}. It is found that diffusion - the…