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6 papers · 1 filter
Enhanced Diffusion of a Needle in a Planar Course of Point Obstacles
Felix Höfling, Erwin Frey, Thomas Franosch
The transport of an infinitely thin, hard rod in a random, dense array of point obstacles is investigated by molecular dynamics simulations. Our model mimics the sterically hindere…
Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states
Tobias Reichenbach, Thomas Franosch, Erwin Frey
We investigate the delocalization transition appearing in an exclusion process with two internal states resp. on two parallel lanes. At the transition, delocalized domain walls for…
Topological estimation of percolation thresholds
Richard A. Neher, Klaus Mecke, Herbert Wagner
Global physical properties of random media change qualitatively at a percolation threshold, where isolated clusters merge to form one infinite connected component. The precise know…
Renewal processes and fluctuation analysis of molecular motor stepping
Jaime E. Santos, Thomas Franosch, Andrea Parmeggiani +1
We model the dynamics of a processive or rotary molecular motor using a renewal processes, in line with the work initiated by Svoboda, Mitra and Block. We apply a functional techni…
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…
A many-fermion generalization of the Caldeira-Leggett model
Florian Marquardt, D. S. Golubev
We analyze a model system of fermions in a harmonic oscillator potential under the influence of a dissipative environment: The fermions are subject to a fluctuating force deriving…