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A polymer model given in terms of beads, interacting through Hookean springsand hydrodynamic forces, is studied. Brownian dynamics description of thisbead-spring polymer model is extended to multiple resolutions. Using thismultiscale approach, a modeller can efficiently look at different regions ofthe polymer in different spatial and temporal resolutions with scalings givenfor the number of beads, statistical segment length and bead radius in order tomaintain macro-scale properties of the polymer filament. The Boltzmanndistribution of a Gaussian chain for differing statistical segment lengthsgives a Langevin equation for the multi-resolution model with a mobility tensorfor different bead sizes. Using the pre-averaging approximation, thetranslational diffusion coefficient is obtained as a function of the inverse ofa matrix and then in closed form in the long-chain limit. This is thenconfirmed with numerical experiments.

Multi-resolution polymer Brownian dynamics with hydrodynamic interactions