A Moment Method Approach to the Viscosities of Simple Liquids

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Abstract
It is shown that the expression for the Fourier components of the density-density correlation function in a fluid obtained from the linearized hydrodynamic equations can also be obtained by adopting a particularly simple form for the associated memory function. The result is used to calculate the longitudinal viscosity of a fluid in terms of the moments of the space and time Fourier transform of the density-density correlation function S(q, ω).