Journal article
Green-Kubo relation for viscosity tested using experimental data for a two-dimensional dusty plasma
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.84(4 Pt 2), pp.046412-046412
10/2011
DOI: 10.1103/PhysRevE.84.046412
PMID: 22181288
Abstract
The theoretical Green-Kubo relation for viscosity is tested using experimentally obtained data. In a dusty plasma experiment, micron-sized dust particles are introduced into a partially ionized argon plasma, where they become negatively charged. They are electrically levitated to form a single-layer Wigner crystal, which is subsequently melted using laser heating. In the liquid phase, these dust particles experience interparticle electric repulsion, laser heating, and friction from the ambient neutral argon gas, and they can be considered to be in a nonequilibrium steady state. Direct measurements of the positions and velocities of individual dust particles are then used to obtain a time series for an off-diagonal element of the stress tensor and its time autocorrelation function. This calculation also requires the interparticle potential, which was not measured experimentally but was obtained using a Debye-Hückel-type model with experimentally determined parameters. Integrating the autocorrelation function over time yields the viscosity for shearing motion among dust particles. The viscosity so obtained is found to agree with results from a previous experiment using a hydrodynamical Navier-Stokes equation. This comparison serves as a test of the Green-Kubo relation for viscosity. Our result is also compared to the predictions of several simulations.
Details
- Title: Subtitle
- Green-Kubo relation for viscosity tested using experimental data for a two-dimensional dusty plasma
- Creators
- Yan Feng - University of IowaJ Goree - University of IowaBin Liu - University of IowaE G D Cohen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.84(4 Pt 2), pp.046412-046412
- DOI
- 10.1103/PhysRevE.84.046412
- PMID
- 22181288
- NLM abbreviation
- Phys Rev E Stat Nonlin Soft Matter Phys
- ISSN
- 1539-3755
- eISSN
- 1550-2376
- Publisher
- American Physical Society
- Language
- English
- Date published
- 10/2011
- Academic Unit
- Physics and Astronomy; Mechanical Engineering
- Record Identifier
- 9984199737102771
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