Regensburg 2016 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 22: Anomalous Diffusion (joint session DY/BP)
DY 22.4: Vortrag
Dienstag, 8. März 2016, 14:45–15:00, H47
A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics — Lucia Salari1, Lamberto Rondoni1,2, Claudio Giberti3, and •Rainer Klages4,5 — 1Dipartimento di Scienze Matematiche, Politecnico di Torino — 2GraphenePoliTO Lab, Politecnico di Torino and INFN Sezione di Torino — 3Dipartimento di Scienze e Metodi dell’ Ingegneria, Universita di Modena e Reggio E. — 4Max Planck Institute for the Physics of Complex Systems, Dresden — 5School of Mathematical Sciences, Queen Mary University of London
Consider equations of motion that generate dispersion of an ensemble of particles in the long time limit. An interesting problem is to predict the diffusive properties of such a dynamical system starting from first principles. Motivated by numerical results on diffusion in polygonal billiards, we introduce an interval exchange transformation lifted onto the whole real line that mimicks deterministic diffusion in these billiards. By definition our simple map model is not chaotic, in the sense of exhibiting a vanishing Lyapunov exponent. We show analytically that it nevertheless displays a whole range of normal and anomalous diffusion under variation of a single control parameter [1].
[1] L. Salari et al., Chaos 25, 073113 (2015)