Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 81: Nonlinear Dynamics, Synchronization, Chaos II
DY 81.6: Talk
Friday, March 16, 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 Räsänen2 — 1Queen 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