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The Rouse-Zimm equation for the position vectors of beads mapping the polymeris generalized by taking into account the viscous aftereffect and thehydrodynamic noise. For the noise, the random fluctuations of the hydrodynamictensor of stresses are responsible. The preaveraging of the Oseen tensor forthe nonstationary Navier-Stokes equation allowed us to relate the timecorrelation functions of the Fourier components of the bead position to thecorrelation functions of the hydrodynamic field created by the noise. Thevelocity autocorrelation function of the center of inertia of the polymer coilis considered in detail for both the short and long times when it behavesaccording to the t^(-3/2) law and does not depend on any polymer parameters.The diffusion coefficient of the polymer is close to that from the Zimm theory,with corrections depending on the ratio between the size of the bead and thesize of the whole coil.

Effects of hydrodynamic noise on the diffusion of polymers in dilute solutions