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cond-mat.stat-mech2009★ 5 cited

Switching mechanism in periodically driven quantum systems with dissipation

Roland Ketzmerick, Waltraut Wustmann

We introduce a switching mechanism in the asymptotic occupations of quantum states induced by the combined effects of a periodic driving and a weak coupling to a heat bath. It expl…

cond-mat.stat-mech2005★ 23 cited

Analytical Investigation of Innovation Dynamics Considering Stochasticity in the Evaluation of Fitness

Dirk Helbing, Martin Treiber, Nicole J. Saam

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase th…

cond-mat.stat-mech2004★ 100 cited

Physics, Stability and Dynamics of Supply Networks

Dirk Helbing, Stefan Lammer, Thomas Seidel +2

We show how to treat supply networks as physical transport problems governed by balance equations and equations for the adaptation of production speeds. Although the non-linear beh…

cond-mat.stat-mech2004★ 27 cited

Distributive routing & congestion control in wireless multihop ad hoc communication networks

Ingmar Glauche, Wolfram Krause, Rudolf Sollacher +1

Due to their inherent complexity, engineered wireless multihop ad hoc communication networks represent a technological challenge. Having no mastering infrastructure the nodes have…

cond-mat.stat-mech2003★ 122 cited

Continuum percolation of wireless ad hoc communication networks

Ingmar Glauche, Wolfram Krause, Rudolf Sollacher +1

Wireless multi-hop ad hoc communication networks represent an infrastructure-less and self-organized generalization of todays wireless cellular networks. Connectivity within such a…