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Issue 11, 2008
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Phonon dispersion curves of two-dimensional colloidal crystals: the wavelength-dependence of friction

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Abstract

Digital video-microscopy measurements are reported for both elastic bandstructures and overdamped phonon decay times in two-dimensional colloidal crystals. Both quantities together allow the determination of the friction coefficients along various high symmetry directions in q-space. These coefficients contain valuable information about the hydrodynamics forces acting between the colloidal particles. We find Stokes-like friction for phonons near the edge of the first Brillouin zone and vanishing friction coefficients for long wavelength phonons. The effect of this wavelength-dependence in real-space is further investigated by simulating a crystal with constant friction (Langevin simulation) and comparing experimentally measured and simulated particle auto-correlation functions.

Graphical abstract: Phonon dispersion curves of two-dimensional colloidal crystals: the wavelength-dependence of friction

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Article information


Submitted
30 May 2008
Accepted
01 Jul 2008
First published
16 Sep 2008

Soft Matter, 2008,4, 2199-2206
Article type
Paper

Phonon dispersion curves of two-dimensional colloidal crystals: the wavelength-dependence of friction

J. Baumgartl, J. Dietrich, J. Dobnikar, C. Bechinger and H. H. von Grünberg, Soft Matter, 2008, 4, 2199
DOI: 10.1039/B807881E

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