Treatment of electron viscosity in quantum conductance

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In a recent paper Sai {\it et al.} [1] identified a correction $R^{dyn}$ to the DC conductance of nanoscale junctions arising from dynamical exchange-correlation ($XC$) effects within time-dependent density functional theory. This quantity contributes to the total resistance through $R=R_{s}+R^{dyn}$ where $R_{s}$ is the resistance evaluated in the absence of dynamical $XC$ effects. In this Comment we show that the numerical estimation of $R^{dyn}$ in example systems of the type they considered should be considerably reduced, once a more appropriate form for the shear electron viscosity $η$ is used.
Comment on ``Dynamical corrections to the DFT-LDA electron conductance in nanoscale systems'', 10.1103/PhysRevLett.94.186810; arXiv:cond-mat/0411098v2

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