Intrinsic viscosity from the Green–Kubo formula

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Abstract
The Green–Kubo formalism and the conventional Kirkwood–Riseman formalism (with and without hydrodynamic preaveraging approximation) are compared in the calculation of the intrinsic viscosity of a Gaussian chain. It is discussed that the Green–Kubo-type formula for the intrinsic viscosity is correct to order ε(=4−d, d being the spatial dimension). Then it is shown that without self-avoiding interaction the two formalisms give identical results to order ε; i.e., the Kirkwood–Riseman formalism is as reliable as the Green–Kubo formalism without self-avoiding interactions. With self-avoiding interaction it is argued that the validity of the Kirkwood–Riseman formalism cannot be expected.