Inhalt des Dokuments
Es gibt keine deutsche Übersetzung dieser Webseite.
Stochastic modeling of diffusion in dynamical systems: three examples
Held by Prof. Dr. Rainer Klages (Queen Mary University of London,
22.11.2017, 16:15 Uhr
Consider equations of motion that generate dispersion of an
ensemble of particles. For a given dynamical system an interesting
problem is not only what type of diffusion is generated by its
equations of motion but also whether the resulting diffusive dynamics
can be reproduced by some known stochastic model. I will discuss three
examples of dynamical systems generating different types of diffusive
transport: The first model is fully deterministic but non-chaotic by
displaying a whole range of normal and anomalous diffusion under
variation of a single control parameter . The second model is a
dissipative version of the paradigmatic standard map. Weakly
perturbing it by noise generates subdiffusion due to particles hopping
between multiple attractors . The third model randomly mixes in
time chaotic dynamics generating normal diffusive spreading with
non-chaotic motion where all particles localize. Varying a control
parameter the mixed system exhibits a transition characterised by
subdiffusion. In all three cases I will show successes, failures and
pitfalls if one tries to reproduce the resulting diffusive dynamics by
using simple stochastic models. Joint work with all authors on the
references cited below.
 L. Salari, L. Rondoni, C. Giberti, R. Klages, Chaos 25, 073113
 C. S. Rodrigues, A. V. Chechkin, A. P. S. de Moura, C. Grebogi and R. Klages, Europhys. Lett. 108, 40002 (2014).
 Y. Sato, R. Klages, to be published.