Frequency-dependent complex viscosity obtained for a liquid two-dimensional dusty plasma experiment

Berumen, Jorge; Goree, J.

doi:10.1103/physreve.105.015209

Title: Frequency-dependent complex viscosity obtained for a liquid two-dimensional dusty plasma experiment

Journal Article · Fri Jan 28 00:00:00 EST 2022 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.105.015209· OSTI ID:1972223

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Univ. of Iowa, Iowa City, IA (United States)

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.

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Research Organization:: Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0014566

OSTI ID:: 1972223

Alternate ID(s):: OSTI ID: 1863410

Journal Information:: Physical Review. E, Vol. 105, Issue 1; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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