Hydrodynamic effect on the correlation functions of a gaussian polymer chain

Abstract

Time-dependent correlation functions of the conformations of a single gaussian polymer chain immersed in a solvent are calculated renormalization-group theoretically. As a byproduct is is confirmed that to order ϵ (=4- d, d being the spatial dimensionality) the translational diffusion constant obtained fully dynamically (i.e. by the Green-Kubo formalism) is identical to that obtained by the Kirkwood theory (or the Kirkwood-Riseman formalism) even with the self-avoiding interaction.