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Regensburg 2016 – wissenschaftliches Programm

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SYAD: Symposium Anomalous Diffusion in Complex Environments

SYAD 2: Anomalous Diffusion (Joint Session with DY)

SYAD 2.4: Vortrag

Dienstag, 8. März 2016, 14:45–15:00, H47

A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamicsLucia Salari1, Lamberto Rondoni1,2, Claudio Giberti3, and •Rainer Klages4,51Dipartimento 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)

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