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

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

2008-05-10

arxiv.org/abs/0805.1472v1

Physics

Condensed Matter

Other Condensed Matter

10 pages, 5 figures, 1 table, submitted to Soft Matter

Scientific paper

Digital video-microscopy measurements are reported of both elastic bandstructures and overdamped phonon decay times in two-dimensional colloidal crystals. Both quantities together allow to determine the friction coefficients along various high symmetry directions in q-space. These coefficients contain valuable information on the hydrodynamic 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.

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