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Anomalous transport : foundations and applications
In Memoriam: Radu Balescu Part I FRACTIONAL CALCULUS AND STOCHASTIC THEORY Threefold Introduction to Fractional Derivatives (Rudolf Hilfer) Random Processes with Infinite Moments (Michael F.…
Anomalous dynamics of cell migration
- P. Dieterich, Rainer Klages, R. Preuss, A. Schwab
- BiologyProceedings of the National Academy of Sciences
- 15 January 2008
By analyzing the trajectories of wild-type and mutated epithelial (transformed Madin–Darby canine kidney) cells, it is shown experimentally that anomalous dynamics characterizes cell migration.
Nonequilibrium statistical physics of small systems : fluctuation relations and beyond
Part I: Fluctuation relations Fluctuation relations: A pedagogical overview Fluctuation Relations and the foundations of statistical thermodynamics: A deterministic approach and numerical…
Thermostating by Deterministic Scattering: The Periodic Lorentz Gas
We present a novel mechanism for thermalizing a system of particles in equilibrium and nonequilibrium situations, based on specifically modeling energy transfer at the boundaries via a microscopic…
Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics
- Rainer Klages
- 1 October 2006
Deterministic Diffusion Deterministic Drift-Diffusion Deterministic Reaction-Diffusion Deterministic Diffusion and Random Perturbations From Normal to Anomalous Diffusion From Diffusive Maps to…
Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems.
A paradigmatic nonhyperbolic dynamical system exhibiting deterministic diffusion is the smooth nonlinear climbing sine map. We find that this map generates fractal hierarchies of normal and anomalous…
Simple deterministic dynamical systems with fractal diffusion coefficients.
- Rainer Klages, J. Dorfman
- Mathematics, PhysicsPhysical review. E, Statistical physics, plasmas…
- 10 July 1998
The main result is that the diffusion coefficient exhibits a fractal structure as a function of the control parameter, and qualitative and quantitative arguments are provided to explain features of this fractalructure.
Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics
- Rainer Klages
- 15 July 2015
This book chapter introduces to the concept of weak chaos, aspects of its ergodic theory description, and properties of the anomalous dynamics associated with it. In the first half of the chapter we…
Spatiotemporal dynamics of bumblebees foraging under predation risk.
- F. Lenz, T. Ings, L. Chittka, A. Chechkin, Rainer Klages
- Environmental SciencePhysical review letters
- 5 August 2011
3D flight paths of bumblebees searching for nectar are analyzed in a laboratory experiment with and without predation risk from artificial spiders to find mixed probability distributions reflecting the access to the food sources and the threat posed by the spiders.