Longitudinal viscosity of 2D Yukawa liquids

The longitudinal viscosity $η_l$ 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 $η_l$ and shear $η_s$ 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 $η_b$ is determined to be either negligibly small or not a meaningful transport coefficient, for a 2D Yukawa liquid.

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