Darmstadt 2008 – wissenschaftliches Programm
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P: Fachverband Plasmaphysik
P I: Poster: Staubige Plasmen, Dichte Plasmen
P I.2: Poster
Dienstag, 11. März 2008, 08:30–10:30, Poster C3
Dimensionality effects on the emergence of superdiffusion in Yukawa liquids — •Torben Ott1, Michael Bonitz1, Zoltan Donkó2, and Peter Hartmann2 — 1CAU zu Kiel, ITAP, Leibnizstraße 15, D-24098 Kiel — 2Research Institute for Solid State Physics and Optics, Hungarian Academy of Sciences, P. O. Box 49, H-1525 Budapest
A three-dimensional Yukawa liquid exhibits normal self-diffusion which is characterized by Fick’s law and a time-independent diffusion coefficient D [1]. This quantity can be evaluated from the Einstein relation, D=⟨ r(t)2⟩/6t. If however the mean-squared displacement ⟨ r(t)2⟩ grows faster than linearly with time, the diffusion coefficient is not well defined and the systems exhibits superdiffusive behaviour. Recently, superdiffusion has been observed in two-dimensional Yukawa liquids [2]. In this contribution we enter into the question about the occurrence of superdiffusion in the transiton-region from a purely three-dimensional to a quasi 2D system [3] where one dimension is confined. As indicators for superdiffusion, the long-time behaviour of the velocity autocorrelation function as well as the time-dependence of the mean-squared displacement are employed. The investigation is carried out by classical molecular dynamics simulations.
[1] H. Ohta and S. Hamaguchi, Phys. Plasmas 7, 4506 (2000)
[2] B. Liu and J. Goree, Phys. Rev. E 75 016405 (2007)
[3] Z. Donkó, P. Hartmann and G. J. Kalman, Phys. Rev. E 69 065401 (2004)