Shear viscosity in monatomic liquids: a simple mode-coupling approach

The value of the shear-viscosity coefficient in fluids is controlled by the dynamical processes affecting the time decay of the associated Green-Kubo integrand, the stress autocorrelation function (SACF). These processes are investigated in monatomic liquids by means of a microscopic approach with a minimum use of phenomenological assumptions. In particular, mode-coupling effects (responsible for the presence in the SACF of a long-lasting ‘tail’) are accounted for by a simplified approach where the only requirement is knowledge of the structural properties. The theory readily yields quantitative predictions in its domain of validity, which comprises ordinary and moderately supercooled ‘simple’ liquids. The framework is applied to liquid Ar and Rb near their melting points, and quite satisfactory agreement with the simulation data is found for both the details of the SACF and the value of the shear-viscosity coefficient.