Frequency-dependent complex viscosity obtained for a liquid two-dimensional dusty plasma experiment
Abstract
Strongly coupled plasmas in a liquid phase can be characterized by a complex viscosity η(ω), which is a function of frequency. Data from a single experiment with dusty plasma were analyzed to compare η(ω) obtained by two fundamentally distinct methods. In a nonequilibrium method, a pair of counterpropagating laser beams, separated by a gap, applied a sinusoidal shear to a two-dimensional liquid, and η(ω) was determined using the constitutive relation. In an equilibrium method, there was no externally applied shear, so η(ω) could be calculated with a generalized Green-Kubo relation. The results for these two methods are compared for the real and imaginary parts of η(ω). For both parts, it is confirmed that the two methods yield results that agree qualitatively in their trends with frequency, with the real part diminishing with ω and the imaginary part increasing with ω, as expected for viscoelastic liquids. Quantitatively, the values of η(ω) obtained by the two methods differ slightly. For the experiment that we analyze, values for the real and imaginary parts of η(ω) are substantially greater than those reported in an earlier experiment, which we attribute to shear thinning effects in the earlier experiment. As a result, the experiment we analyzemore »
- Authors:
-
- Univ. of Iowa, Iowa City, IA (United States)
- Publication Date:
- Research Org.:
- Univ. of Iowa, Iowa City, IA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1972223
- Alternate Identifier(s):
- OSTI ID: 1863410
- Grant/Contract Number:
- SC0014566
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. E
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 1; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Plasma transport; Dusty or complex plasma; Strongly-coupled plasmas; Viscoelasticity
Citation Formats
Berumen, Jorge, and Goree, J. Frequency-dependent complex viscosity obtained for a liquid two-dimensional dusty plasma experiment. United States: N. p., 2022.
Web. doi:10.1103/physreve.105.015209.
Berumen, Jorge, & Goree, J. Frequency-dependent complex viscosity obtained for a liquid two-dimensional dusty plasma experiment. United States. https://doi.org/10.1103/physreve.105.015209
Berumen, Jorge, and Goree, J. Fri .
"Frequency-dependent complex viscosity obtained for a liquid two-dimensional dusty plasma experiment". United States. https://doi.org/10.1103/physreve.105.015209. https://www.osti.gov/servlets/purl/1972223.
@article{osti_1972223,
title = {Frequency-dependent complex viscosity obtained for a liquid two-dimensional dusty plasma experiment},
author = {Berumen, Jorge and Goree, J.},
abstractNote = {Strongly coupled plasmas in a liquid phase can be characterized by a complex viscosity η(ω), which is a function of frequency. Data from a single experiment with dusty plasma were analyzed to compare η(ω) obtained by two fundamentally distinct methods. In a nonequilibrium method, a pair of counterpropagating laser beams, separated by a gap, applied a sinusoidal shear to a two-dimensional liquid, and η(ω) was determined using the constitutive relation. In an equilibrium method, there was no externally applied shear, so η(ω) could be calculated with a generalized Green-Kubo relation. The results for these two methods are compared for the real and imaginary parts of η(ω). For both parts, it is confirmed that the two methods yield results that agree qualitatively in their trends with frequency, with the real part diminishing with ω and the imaginary part increasing with ω, as expected for viscoelastic liquids. Quantitatively, the values of η(ω) obtained by the two methods differ slightly. For the experiment that we analyze, values for the real and imaginary parts of η(ω) are substantially greater than those reported in an earlier experiment, which we attribute to shear thinning effects in the earlier experiment. As a result, the experiment we analyze was designed to minimize shear thinning, unlike the earlier experiment.},
doi = {10.1103/physreve.105.015209},
journal = {Physical Review. E},
number = 1,
volume = 105,
place = {United States},
year = {Fri Jan 28 00:00:00 EST 2022},
month = {Fri Jan 28 00:00:00 EST 2022}
}
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