Frequency-dependent shear viscosity of a liquid 2D dusty plasma

Abstract

The viscoelasticity of a two-dimensional liquid strongly-coupled dusty plasma is studied experimentally, without macroscopic shear. Positions and velocities of the dust particles, measured by video microscopy, are used as the inputs to the generalized Green-Kubo relation to obtain the complex viscosity $\eta (\omega )$. The real part of $\eta (\omega )$ (which corresponds to dissipation) diminishes gradually with frequency, while the imaginary part (which corresponds to elasticity) is peaked at a frequency below the 2D dusty plasma frequency. The viscoelastic approximation is found to accurately describe the 2D experimental results for $\eta (\omega )$, yielding the Maxwell relaxation time ${\tau }_M=0.10s$. Results for $\eta (\omega )$ are compared to 2D molecular dynamics Yukawa simulations and to a previous experiment that was performed using an oscillating macroscopic shear.

7 pages, 5 figures, in press Physical Review E 2012

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Cited by in corpus (6)

• Microscopic Origin of Shear Relaxation in Strongly Coupled Yukawa Liquids
• Interplay of single particle and collective response in molecular dynamics simulation of dusty plasma system
• Dynamical states in two-dimensional charged dust particle clusters in plasma medium
• Dependence of the Atomic Level Green-Kubo Stress Correlation Function on Wavevector and Frequency. Molecular Dynamics Results from a Model Liquid
• Experiment and model for a Stokes layer in a strongly coupled dusty plasma
• Identification of time scales of the violation of the Stokes-Einstein relation in Yukawa liquids