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We present an extended analysis of the wave-vector dependent shear viscosityof monatomic and diatomic (liquid chlorine) fluids over a wide range ofwave-vectors and for a variety of state points. The analysis is based onequilibrium molecular dynamics simulations, which involves the evaluation oftransverse momentum density and shear stress autocorrelation functions. Forliquid chlorine we present the results in both atomic and molecular formalisms.We find that the viscosity kernel of chlorine is statisticallyindistinguishable with respect to atomic and molecular formalisms. The resultsfurther suggest that the real space viscosity kernels of monatomic and diatomicfluids depends sensitively on the density, the potential energy function andthe choice of fitting function in reciprocal space. It is also shown that thereciprocal space shear viscosity data can be fitted to two different simplefunctional forms over the entire density, temperature and wave-vector range: afunction composed of n-Gaussian terms and a Lorentzian type function. Overall,the real space viscosity kernel has a width of 3 to 6 atomic diameters whichmeans that the generalized hydrodynamic constitutive relation is required forfluids with strain rates that vary nonlinearly over distances of the order ofatomic dimensions.

An extended analysis of the viscosity kernel for monatomic and diatomic fluids