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Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 81: Nonlinear Dynamics, Synchronization, Chaos II

DY 81.6: Vortrag

Freitag, 16. März 2018, 11:30–11:45, BH-N 243

Normal and anomalous diffusion in soft Lorentz gases — •Rainer Klages1, Sol Selene Gil Gallegos1, Janne Solanpää2, Mikka Sarvilahti2, and Esa Räsänen21Queen Mary University of London, School of Mathematical Sciences — 2Laboratory of Physics, Tampere University of Technology

Motivated by electronic transport in artificial graphene, we study the diffusion of point particles in a soft periodic Lorentz gas modeled by repulsive Fermi potentials on a triangular lattice. We find that the diffusion coefficient is a highly irregular function of the minimal distance between adjacent scatterers as a control parameter. Parameter regions of normal diffusion alternate with regions exhibiting superdiffusion. The latter are due to islands of periodic orbits in phase space whose origin and structure we explore in detail. The coarse functional form of the parameter-dependent diffusion coefficient is well reproduced by simple random walk models [1].

[1] R.Klages, S.S.G.Gallegos, J.Solanpää, M.Sarvilahti, E.Räsänen, submitted

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