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Title: Scaling Law for Shear Viscosity in Yukawa Systems

Abstract

The empirical scaling law for shear viscosity and the relation between the viscosity, and diffusion constants are proposed for strongly correlated Yukawa systems. The presented analytical and numerical results are in a good accordance with the experimental investigations of transport of dust particles in gas discharge plasma.

Authors:
; ; ;  [1]
  1. Institute For High Energy Densities, RAS, Izhorskaya 13/19, 127412, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
20726809
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 799; Journal Issue: 1; Conference: 4. international conference on the physics of dusty plasmas, Orleans (France), 13-17 Jun 2005; Other Information: DOI: 10.1063/1.2134658; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CRYSTALLOGRAPHY; DIFFUSION; DUSTS; PARTICLES; PLASMA; SCALING LAWS; SHEAR; VISCOSITY

Citation Formats

Vaulina, O.S., Shakhova, I.A., Petrov, O.F., and Gavrikov, A.V. Scaling Law for Shear Viscosity in Yukawa Systems. United States: N. p., 2005. Web. doi:10.1063/1.2134658.
Vaulina, O.S., Shakhova, I.A., Petrov, O.F., & Gavrikov, A.V. Scaling Law for Shear Viscosity in Yukawa Systems. United States. doi:10.1063/1.2134658.
Vaulina, O.S., Shakhova, I.A., Petrov, O.F., and Gavrikov, A.V. Mon . "Scaling Law for Shear Viscosity in Yukawa Systems". United States. doi:10.1063/1.2134658.
@article{osti_20726809,
title = {Scaling Law for Shear Viscosity in Yukawa Systems},
author = {Vaulina, O.S. and Shakhova, I.A. and Petrov, O.F. and Gavrikov, A.V.},
abstractNote = {The empirical scaling law for shear viscosity and the relation between the viscosity, and diffusion constants are proposed for strongly correlated Yukawa systems. The presented analytical and numerical results are in a good accordance with the experimental investigations of transport of dust particles in gas discharge plasma.},
doi = {10.1063/1.2134658},
journal = {AIP Conference Proceedings},
number = 1,
volume = 799,
place = {United States},
year = {Mon Oct 31 00:00:00 EST 2005},
month = {Mon Oct 31 00:00:00 EST 2005}
}
  • The shear viscosity of a two-dimensional (2D) liquid was calculated using molecular dynamics simulations with a Yukawa potential. The viscosity has a minimum at a Coulomb coupling parameter {gamma} of about 17, arising from the temperature dependence of the kinetic and potential contributions. Previous calculations of 2D viscosity were less extensive as well as for a different potential. The stress autocorrelation function was found to decay rapidly, contrary to earlier work. These results are useful for 2D condensed matter systems and are compared to a dusty plasma experiment.
  • A two-dimensional Yukawa liquid is studied using two different nonequilibrium molecular dynamics simulation methods. Shear viscosity values in the limit of small shear rates are reported for a wide range of Coulomb coupling parameter and screening lengths. At high shear rates it is demonstrated that this liquid exhibits shear thinning; i.e., the viscosity {eta} diminishes with increasing shear rate. It is expected that two-dimensional dusty plasmas will exhibit this effect.
  • We report calculations of the shear viscosity of three-dimensional strongly-coupled Yukawa liquids, based on two different non-equilibrium molecular dynamics methods. The present simulations intend to improve the accuracy of shear viscosity data, compared to those obtained in earlier studies.
  • Cited by 7
  • We present molecular dynamics (MD) calculations of shear viscosity for asymmetric mixed plasma for thermodynamic conditions relevant to astrophysical and inertial confinement fusion plasmas. Specifically, we consider mixtures of deuterium and argon at temperatures of 100–500 eV and a number density of 10 25 ions/cc. The motion of 30 000–120 000 ions is simulated in which the ions interact via the Yukawa (screened Coulomb) potential. The electric field of the electrons is included in this effective interaction; the electrons are not simulated explicitly. Shear viscosity is calculated using the Green-Kubo approach with an integral of the shear stress autocorrelation function,more » a quantity calculated in the equilibrium MD simulations. We systematically study different mixtures through a series of simulations with increasing fraction of the minority high- Z element (Ar) in the D-Ar plasma mixture. In the more weakly coupled plasmas, at 500 eV and low Ar fractions, results from MD compare very well with Chapman-Enskog kinetic results. In the more strongly coupled plasmas, the kinetic theory does not agree well with the MD results. Here, we develop a simple model that interpolates between classical kinetic theories at weak coupling and the Murillo Yukawa viscosity model at higher coupling. Finally, this hybrid kinetics-MD viscosity model agrees well with the MD results over the conditions simulated, ranging from moderately weakly coupled to moderately strongly coupled asymmetric plasma mixtures.« less