Longitudinal viscosity of 2D Yukawa liquids

Abstract

The longitudinal viscosity $\hat{I}{\cdot }_l$ is obtained for a two-dimensional (2D) liquid using a Green-Kubo method with a molecular dynamics simulation. The interparticle potential used has the Debye-Hückel or Yukawa form, which models a 2D dusty plasma. The longitudinal $\hat{I}{\cdot }_l$ and shear $\hat{I}{\cdot }_s$ viscosities are found to have values that match very closely, with only negligible differences for the entire range of temperatures that is considered. The bulk viscosity $\hat{I}{\cdot }_b$ is determined to be either negligibly small or not a meaningful transport coefficient, for a 2D Yukawa liquid.

7 pages, 5 figures, in press Phys. Rev. E 2013