Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 71: Poster: Noneq. Stat. Phys., Stoch. Thermo, Brownian Dyn.

DY 71.12: Poster

Thursday, March 15, 2018, 15:30–18:00, Poster A

Apparent superdiffusion in subdiffusive d-dimensional generalized Lévy walks — •Tony Albers and Günter Radons — Institut für Physik, Technische Universität Chemnitz, Germany

We investigate a generalized Lévy walk [1] type of motion in a d-dimensional space, where the velocities of the flights depend on the durations of the flights in a nonlinear, deterministic way. This model of anomalous diffusion is essentially characterized by two exponents determining the asymptotic decay of the distribution of flight durations and the nonlinear dependence of the flight velocities on the flight durations. We provide analytical results for the asymptotic time dependence of the ensemble-averaged and time-averaged squared displacement and the randomness of the latter characterized by the ergodicity breaking parameter. In this contribution, we focus on a certain region of the two-dimensional parameter space, where the ensemble-averaged squared displacement increases slower than linear (subdiffusion) whereas the time-averaged squared displacement increases faster than linear (superdiffusion). This new kind of ergodicity breaking is studied in detail.

[1] M. F. Shlesinger, B. J. West, and J. Klafter, Phys. Rev. Lett. 58 1100 (1987)